Two spheres have radii 6 and 15. Find the ratios of the areas and the volumes.

Answers

Answer 1

Answer:

1st sphere has r1 = 6

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 6^2 = 144pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 6^3 =288pi

2nd sphere has r1 = 15

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 15^2 = 900pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 15^3 =4500pi

=> S1/S2 = 144pi/900pi = 0.16

=> V1/V2 = 288pi/4500pi = 0.064

Hope this helps!

:)


Related Questions

Determine the probability of each event. Write impossible, unlikely,
as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.

Answers

Answer:

green

Step-by-step explanation:

ahahsvs asks d ja ssbsbs d

answer quick for brainliest!

Answers

A

Step-by-step explanation:

I can't figure this question out can I please have help with this question​

Answers

Answer: 45 degrees

Step-by-step explanation:

The blades of the fan align at 0, 45, 90, 135, 180, 225, 270 and 315.

If you move the blades 45 degrees the fan's blades will be in the same position as the one before them

Sorry if I didn't explain it well, comment and I'll try to explain better

Jack and his cousin Emma are picking apples in their grandparents' orchard. Jack has filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. Emma has 8 full baskets and will continue picking at 6 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take? How much fruit will they have picked by then?

Answers

Answer:

3 hours

26 baskets each giving a total of 52 baskets

Step-by-step explanation:

Jack has already  filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. This means that in x hours he would have filled an additional 5x basket to the initial 11 baskets. Therefore the number of baskets that Jack would have filled in x hours can be given by:

11 + 5x

Emma has already  filled 8 baskets with apples and is filling them at a rate of 6 baskets per hour. This means that in x hours he would have filled an additional 6x basket to the initial 11 baskets. Therefore the total number of baskets that Emma would have filled in x hours can be given by:

8 + 6x.

The time it would take Emma and Jack to have completed the same number of baskets can be gotten by using this equation and solving for x:

11 + 5x = 8 + 6x

11 - 8 = 6x - 5x

x = 3 hours.

It would take them 3 hours to fill the same number of baskets.

The number of fruits Jack would have picked in 3 hours = 11 + 5(3) = 26 baskets.

The number of fruits Emma would have picked in 3 hours = 8 + 6(3) = 26 baskets.

Both Emma and Jack would have picked 26 baskets each, giving a total of 52 baskets

The population of the united states is 280 million. If 2 out of 3 americans know who the vice president is, how many americans know who the vice presdient is?

Answers

Answer:

186,666,667 Americans know who the vice president is

Step-by-step explanation:

In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.

Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.

What this means is that a fraction of the population at 2/3 knows who the vice president is

This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666

This is approximately equal to 186,666,667 people

Answer:

About 186.7 million people know who is the president of the United States.

Step-by-step explanation:

The number of US people who know who the vice president is (Mike Pence in 2020):

[tex]x = \frac{2}{3}\cdot (280\times 10^{6}\,people)[/tex]

[tex]x = 186.667\times 10^{6}\,people[/tex]

About 186.7 million people know who is the president of the United States.

Use the quadratic function to predict f(x) if x equals 2.
f(x) = -3x^2 + 180x - 285

Answers

Answer:

When x = 2, f(x) = 63.

Step-by-step explanation:

In order to find the value of f(x), you have to substitute x = 2 into the function :

[tex]f(x) = - 3 {x}^{2} + 180x - 285[/tex]

[tex]f(2) = - 3{(2)}^{2} + 180(2) - 285[/tex]

[tex]f(2) = - 12 + 360 - 285[/tex]

[tex]f(2) = 63[/tex]

Tom is twice as old as andy. in 4 years' time, the sum of their ages will be 32 years. Find andy's present age. Don't forget to identify your variable and answer in a full sentence.?

Answers

Answer:

8 years old

Step-by-step explanation:

Andy = x

Tom = 2x

So..

2x + 4 + x + 4 = 32

3x + 8 = 32

3x = 24

x = 8

Answer:

8 years old

Step-by-step explanation:

If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,

(x + 4) ← Tom's age in 4 years

(2x + 4) ← Andy's age in 4 years

We can now create an equation:

x+4 + 2x+4 = 32

Combining like terms, x + 2x = 3x, so now we have

3x + 4 + 4 = 32                                

4+4=8, so

3x + 8 = 32

-8          -8

3x = 24

Divide both sides by 3, and you have your answer ;

x = 8

If you liked it, please mark it Brainliest.

a circle has a center located at 2 5 and passes through the point 10 3 answer
Determine the equation of the circle. Show how you arrived at your answer.
Write the equation of the tangent line to the circle at the point . Show how you determined your answer.

Answers

Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

[tex]Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25[/tex]

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

Find out more on equation at: https://brainly.com/question/2972832

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Colleen's movie collection contains 6 movies, including 2 action movies. What is the probability that a randomly selected movie will be an action movie?

Answers

Answer:

33.33% probability that a randomly selected movie will be an action movie

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

2 action movies out of 6.

Probability of selecting an action movie.

2/6 = 0.3333

33.33% probability that a randomly selected movie will be an action movie

Answer:

pobably yes

Step-by-step explanation:

The cost of a phone plan Q is $10 per month plus $0.14 per minute. Phone plan R cost $7 per month plus $0.17 per minute. If Anthony talks on the phone for 70 minutes in a month, which plan is less expensive for Anthony, and by how much?

Answers

Answer:

Plan Q cost $18.9 and it is less expensive by $0.9

Step-by-step explanation:

Cost of Phone Q=$10+$0.14 per minute

Cost of phone R=$7+$0.17 per minute

Let m=number of minutes

If Anthony talks for 70 minutes

Cost of Q=$10+$0.14(m)

=$10+$0.14(70)

=$10+$9.8

=$19.8

Cost of phone R=$7+$0.17(m)

=$7+$0.17(70)

=$7+$11.9

=$18.9

Plan Q cost $18.9 and it is less expensive by $0.9

Can someone help me with this?
(5+w)(w+4)

Answers

Answer:

w^2+9w+20

Step-by-step explanation:

Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd

a = 5        

b = w        

c = w            

d = 4

= 5w + 5 x 4 + ww + w x 4

= 5w + 5 x 4 + ww + 4w

Simplify 5w + 5 x 4 + ww + 4w:

w^2 + 9w + 20

You bought a magazine for $5 and 20 erasers. If you spent a total of $11, how much did each eraser cost

Answers

Answer:

.30 cents

Step-by-step explanation:

11-5=6

6 divided by 20

This graph relates the length in centimeters to the approximate length in inches. Lengths in Centimeters and Inches a coordinate plane, the x-axis is labeled Length in centimeters and the y-axis is labeled Length in inches. A line goes through points (0, 0), (1, 0.39), (2, 0.78). According to the graph, which must be true? A length of 8 centimeters is approximately 3.12 inches. A length of 3 inches is approximately 1.17 centimeters. A length of 5 centimeters is approximately 1.56 inches. A length of 6 inches is approximately 2.34 centimeters.

Answers

Answer: The Answer Is A!!!!

Step-by-step explanation:

Well, Logically All Of The Other Answers Make No Sense...

Enjoy!! <3

Answer:

A its just A ok

Step-by-step explanation:

what is csc of angle b. reduce fractional answers to lowest terms

Answers

Answer:

17 / 8

Step-by-step explanation:

So the cosecant is equal to the hypotenuse ÷ opposite side

Hypotenuse = 17

Opposite side = 8

17 / 8

The measure of the cosecant of the angle B is 17/8.

What is the relation between cosecant and sine function?

We can write the relation between cosecant and cosine function as -

cosec(x) = 1/sin(x)

Given is a right angled triangle.

We can write -

cosec(b) = 1/sin(b)

cosec(b) = 1/(p/h)

cosec(b) = (h/p)

cosec(b) = 17/8

Therefore, the measure of the cosecant of the angle B is 17/8.

To solve more questions on trigonometric functions, visit the link below -

https://brainly.com/question/12015707

#SPJ2

water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.


the depth of the water increases linearly

please help soon I have been stuck on this problem for a really long time.

at 1:30 pm the water depth was 2.4ft


it is now 4:00 and the water depth is 3.9 ft


what will the water depth be at 5:00?

Answers

Answer:

The depth of water at 5:00 is 4.5 ft.

Step-by-step explanation:

Depth of water at 1:30 PM = 2.4 ft

Depth of water at 4:00 PM = 3.9 ft

Change in time = 4 - 1:30 = 2.5 hours

Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft

Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.

We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.

Depth increased in 2.5 hours = 1.5 ft

Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft

Depth increased in 2.5 hours = 1.5 ft

So, The depth of water at 5:00 is 4.5 ft.

The depth of water at 5:00 is 4.5 ft.

Given that,  

Depth of water at 1:30 PM = 2.4 ft Depth of water at 4:00 PM = 3.9 ft Si, Change in time = 4 - 1:30 = 2.5 hours

Now  

Depth increased in 2.5 hours is

= 3.9 - 2.4

= 1.5 ft

Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

= 3.9 + 0.6

= 4.5 ft

Learn more: https://brainly.com/question/25914450?referrer=searchResults

9. The volume of a cubical box is 19.683 cucm. Find the length of each side of the box *
(5 Points)

Answers

Answer:

Step-by-step explanation:

a^3=19.683

a^3=2.7^3

length of each side=2.7 cm

Answer:

2.7 meters long

Step-by-step explanation:

Volume of a Cube is: [tex]V=a^3[/tex]

Where 'a' is the side length.

Each side of the box would be the cube root of the total volume in this case,

[tex]V=19.683\\\sqrt[3]{19.683}\\{a=2.7}[/tex]

The length of each side should be 2.7 meters long.

Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi

Answers

Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

Cylinder P

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

The volume of cylinder P is 794.430242277

-------------------------------------------------------------------------------------------------------

Cylinder Q

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

The volume of cylinder Q is 1308.47334022

-------------------------------------------------------------------------------------------------------

We can see that cylinder Q has a greater volume

lan has a flower pot in the shape of a rectangular prism. The base of the

flower pot is 36 square inches. The flower he's planting needs the soil to

be 3 inches deep. How much soil should lan put in the flower pot?

How can we find the volume of the soil in cubic inches?

Answers

Answer:  108 cubic inches

Step-by-step explanation:

Hi, to answer this question we have to apple the next formula:

Volume of a rectangular prism (V): base area x height  (deep of the soil)

Replacing with the values given:

V = 36 x 3 =108 cubic inches

Ian should put 108 cubic inches of soil in the flower pot.

The volume of the soil is 108 cubic inches.

Feel free to ask for more if needed or if you did not understand something.  

13.12 / .10 equals what please help me

Answers

Answer:

131.2

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

13.12 / .10

132

Mr W. is having a yard sale, where he is selling iPad chargers and wireless keyboards. At the end of the day, he knows he sold a maximum of 14 items, and he earned a total of $342. If he charged $18 for each iPad charger (x) and $38 for each keyboard (y), write a system of inequalities that models this situation.

(b) graph that system of inequalities
(c) is it possible he sold 11 iPad charges and 3 wireless keyboards? explain based on your graph

Answers

Answer:

i dont get it

Step-by-step explanation:

PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.
What is f(x)+g(x)?

Answers

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

Write an expression for the volume of a rectangular prism with length 7.5 ft, width w ft, and height 4.2 ft. Enter the smaller number first. sad :'(

Answers

Answer:

volume = 31.5w  

Step-by-step explanation:

A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .

volume of a rectangular prism = LHW

where

L= length

H = height

W = width

volume = LHW

L = 7.5 ft

W = w ft

H = 4.2 ft

The expression for the volume of a rectangular prism with the following value above can be represented below.

volume = 4.2 × 7.5 × w

volume = 31.5w  

Which conclusion can be drawn from the scatter plot...

Answers

Answer:

3, there is a positive correlation

Step-by-step explanation:

2x3y − 3x2 + 7y2x − 12y in standard form

Answers

Answer:

Step By Step Explanation:

Answer:

A) 2x3y + 7y2x − 3x2 − 12y

I really don't understand this. Can someone help me.

Answers

i’m sorry idk. i just need to answer questions, i hope you understand!

Answer:

Step-by-step explanation:

sum of angles of a polygon=(n-2)*180

S=(n-2)*180

n=13

S=(13-2)*180

=11*180

=1980°

2.

sum of angles=95+140+120+75+130+115+80

=750

again sum of angles of a heptagon=(7-2)×180

=5×180

=900

so these can,t be angles of heptagon.

3.

external angle of heptagon=360÷10=36

internal angle=180-36=144°

it is a convex polygon.

4.

external angle=360÷9=40°

internal angle=180-40=140°

it is a convex polygon.

5.

external angle=360÷5=72°

internal angle=180-72=108°

it is a convex polygon.


Find the length of the missing side and show the work please

Answers

Answer:

13 cm

Step-by-step explanation:

Using Pythagorean theorem

5²+12²=c²

25+144=c²

169=c²

In order to get rid of the ² it has to be square rooted

√169=√c²

c = 13

Complete equation of the line through (1,4) and (2,2)

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

Find the area of the triangle. Enter your answer in the box. I really need help with this, the image is below

Answers

Answer: 12

Step-by-step explanation:

Area of trinagle = b * h /2

8*3= 24/2= 12

Simplify the expression.
8x ^-4 y^-8/
-2xy^5
Write your answer without negative exponents.

Answers

Answer:

[tex]\frac{-4}{x^5y^13}[/tex]

Step-by-step explanation:

Compare interior intersections and

exterior intersections. How are they the

same? How are they different?

Answers

Answer:

Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.

Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.

Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.

However, they are different, because each type is formed at different parts of the figure, one inside and one outside.

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