Calculate the volume of the following shapes with the given information. For the first three questions, give each answer both in terms of and by using to approximate . Make sure to include units.

Sphere with a diameter of 6 inches
Cylinder with a height of 6 inches and a diameter of 6 inches
Cone with a height of 6 inches and a radius of 3 inches
How are these three volumes related?

Answers

Answer 1

Answer:

They all have PI π in the formulas

Step-by-step explanation:

Calculate The Volume Of The Following Shapes With The Given Information. For The First Three Questions,
Calculate The Volume Of The Following Shapes With The Given Information. For The First Three Questions,
Calculate The Volume Of The Following Shapes With The Given Information. For The First Three Questions,
Answer 2

The volume of Sphere is,  [tex]36\pi inch^3[/tex].

The volume of Cylinder is, [tex]36\pi inch^3[/tex].

The volume of Cone is,[tex]18\pi inch^3[/tex].

What is volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

First to find the volume of Sphere.

Given a diameter of sphere is 6 inches.

So, the radius is 6/2 = 3 inches.

Volume of Sphere is,

[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]

Now, to find volume of Cylinder.

Given: Height = 6 inch,  diameter = 6 inch  so, radius = 3 inch

Volume of cylinder is,

[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]

Now, to find the volume of Cone.

Given: Height = 6 inch,  radius = 3 inch

Volume of cone is,

[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]

Therefore, the above the volume of Sphere and Cylinder are equal.

And the volume of Cone is half of the volumes of Sphere and Cylinder.

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Related Questions

Can anyone plz answer the question?? It's in the photo. Thanks!

Answers

Answer:

11  because 10x2=20 and the 220 divided by 20 =11

Step-by-step explanation:

Let the speed of the train going from Boston to New York = X

Let the distance from Boston to when the trains meet = Y

The distance to New York when they meet would be 220 - Y

The Boston to New York train would be: Y = (2X-10)*2

New York to Boston train would be : 220 -Y = 2X

Using substitution:

220-(2X-10)*2 = 2X

Simplify the left side:

220 - 4X+20 = 2X

Add 4x to both sides and combine like terms:

240 = 6X

Divide both sides by 6:

x = 40

Now find distance from Boston by replacing x with 40"

Y = (2(40)-10)*2

Y = 160 -20

Y = 140 miles

how many feet of outdoor carpet will we need? 4,4,2,2,2,2,5

Answers

there needs to be more information provided to correctly interpret how you want the question answered.

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5. What is the correlation coefficient for the data shown in the table? 0 1 4 5

Answers

Answer:

The answer is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

A correlation coefficient a numerical measure of change of two variables, but it is often a sample from a data set. Considering there is no change between our x and y variables that align in our change, the correlation coefficient I thought it would be is 0, but answering C.4 got an 100% on the Edge Test.

How many solutions does the system formed by x - y = 9 and
ay - ax + 90 = 0 have for a nonzero number a ? Give your answer and
complete the explanation.
a
The system has (select) solution(s). Rearranging the left side of the
2nd equation and subtracting 9a from both sides gives -ax + ay =
Dividing both sides by -a gives x - y = So, the equations describe
the same line.

Answers

Answer:

infinite-99

Step-by-step explanation:

If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.

__

The rest of the solution is described in the paragraph. Starting with the rearranged form

  -ax +ay +9a = 0

"subtract 9a from both sides" means you now have ...

  -ax +ay +9a -9a = 0 -9a

or

  -ax +ay = -9a . . . . . . . . "-9" goes in the first box

__

Now, dividing by -a gives you ...

  (-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)

  x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".

Mrs. Williams has 1/4 gallon of juice left in a bottle. She pours an equal amount of
juice into 5 glasses to empty the bottle. Which model represents the fractional
amount of the gallon of juice in each glass?​

Answers

Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons, if its right please give 5 stars

what two numbers have a GCF of 5 and a LCM of 50

Answers

Answer:

10 and 5

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C

Step-by-step explanation:

Since the output is just the input multiplied by 3, the output will be 15.4*3=46.2, or answer choice C. Hope this helps!

Answer:

C. 46. 2

Step-by-step explanation:

All you need to do is multiply 15.4 by 3, like so:

15.4 · 3 = 46.2

If 6 pens cost $2.40 What is the cost of 9 pens?

Answers

Answer:

3.60$

Step-by-step explanation:

if we bought 3 pens that would equal 1.20$ so we add 1.20$ to 2.40$ we get 3.60$

Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink has 45% sugar.
Each can has 250 milliliters of soda drink .

What is the sugar concentration of the mixed soft drink

Answers

Answer:

  32.5% sugar

Step-by-step explanation:

You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.

Weighted average

The fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:

  (20% +45%)/2 = 65%/2 = 32.5%

The sugar concentration of the mixed soft drink is 32.5%.

What is the perimeter of the fifth square in this pattern?
Area = 16
Area = 64
Area = 144

Answers

I think its 144 because its the fifth square

A cylinder has a volume of 315 pi cubic meters and a height of 21 meters. What is the area of the base?

Answers

Answer:

The area of base is 47.1 m² or 15π m².

Step-by-step explanation:

Given that the formula of volume of cylinder is V = πr²h where πr² is the base area of cylinder so you have to substitute the following values into the formula :

[tex]v = \pi \times {r}^{2} \times h[/tex]

Let v = 315π,

Let h = 21,

[tex]315\pi = \pi {r}^{2} \times 21[/tex]

[tex]\pi {r}^{2} = 315\pi \div 21[/tex]

[tex]\pi {r}^{2} = 15\pi[/tex]

[tex]base \: area = 15\pi \: {m}^{2} [/tex]

[tex]base \: area = 47.1 \: {m}^{2} (3s.f)[/tex]

Answer:

a

Step-by-step explanation:

plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday. keep it chill

Answers

Answer:

3  ≥ x

Step-by-step explanation:

-24 ≤x-3-8x

Combine like terms

-24 ≤-3-7x

Add 3 to each side

-24+3≤-3+3-7x

-21 ≤-7x

Divide by -7, remembering to flip the inequality

-21 /-7 ≥ -7x/-7

3  ≥ x

You entered a room, there are 34 people. You killed 30. How many people are left in the room?

Answers

Answer:

5

Step-by-step explanation:

4 people you didnt kill and that were already there and you

can i have brainliest if i got it right pls

Answer:

31

Step-by-step explanation:

there were 34 people and you killed 30. the other people would have gotten scared and ran away leaving you with 30 other bodies in the room

How tall is the monument?

Answers

Answer:

43.125

Step-by-step explanation:

From trigonometry;

Tan87.4 =height of monument / 25

Height of monument = 25 * Tan 87.4

= 25 * 1.525

=38.125 ft

There is an extra substention of 5ft we add that

38.125 + 5 = 43.125 ft

How do I find a radius of a can?

Answers

Answer:

Several ways, take the diameter and divide it by half.

Take the circumference "C" and r = C/2π

Step-by-step explanation:

what is the median? 10, 50, 30, 90, 90, 0, 50, 80, 90, 90

Answers

Answer:

65

Step-by-step explanation:

Order the numbers in order

Find the middle number

Since there were 2, find the average

Answer:65

Step-by-step explanation:

median is the middle

there is 2 and they are 50 and 80

add it up and divide by 2

The outlier of a data set causes the _____(mean/median) to be greater than the ______(mean/median) when the outlier is in the upper part of the data set.

Answers

Answer:

Mean, Median

Step-by-step explanation:

Outliers affect the mean because it is not resistant to outliers. They will affect the sum and therefore the mean.

The solution is, Mean, Median.

i.e. The outlier of a data set causes the Mean (mean/median) to be greater than the Median (mean/median) when the outlier is in the upper part of the data set.

What is median?

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

we know that,

Outliers affect the mean because it is not resistant to outliers.

They will affect the sum and therefore the mean.

so, we get,

The outlier of a data set causes the Mean (mean/median) to be greater than the Median (mean/median) when the outlier is in the upper part of the data set.

hence, The solution is, Mean, and, Median.

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Find the area 9cm 8cm 13cm 9cm 11cm

Answers

Answer:

460

Step-by-step explanation: multiply all numbers to get your answer

Phil is paid £240 per week.
Each week he saves one-quarter of his pay.
B) He is saving for a new bike that costs £349.
How many weeks does it take to save enough to buy the bike?

Answers

Phil would need to save for at least 6 weeks to have enough money to buy the bike.

Phil saves one-quarter of his pay each week, which is:

1/4 x £240 = £60

Let's assume it takes him n weeks to save enough to buy the bike. Then, the amount he saves in n weeks is:

n x £60 = £349

We can solve for n by dividing both sides by £60:

n = £349 / £60

n ≈ 5.82

Since we can't have a fraction of a week, Phil would need to save for 6 weeks to have enough money to buy the bike.

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part 2 of math help me please

Answers

Answer:

<1 = <5 is True

<2 = <4 is True

<2 = <7 is False

<3 and <6 are not a linear pair

<4 and <5 are not supplementary angles

m<5 is 75°

m<11 is 75°

m<16 is 65°

WHEN CALCULATING THE AREA OF A TRAPEZOID, HOW DO YOU DETERMINE WHICH SIDES ARE THE BASES

Answers

Answer:

a bc they are parallel

Step-by-step explanation:

Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use? 0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

Answers

Answer:

[tex] Range =1.41-0.66 = 0.75[/tex]

[tex] \bar X = 1.171 W/Kg[/tex]

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Step-by-step explanation:

For this case we have the following datset given:

0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

We need to find the range, and the range is defined by:

[tex] Range = Max -Min[/tex]

And replacinng we got:

[tex] Range =1.41-0.66 = 0.75[/tex]

Then we can find the sample variance, but firt we need to find the sample mean with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X = 1.171 W/Kg[/tex]

Now we can find the sample variance with this formula:

[tex] s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And replacing we got:

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Mean is 22 and standard deviation is 0.2, what is the spread

Answers

Answer:

:v What??

jwkwlwmwbwjqkq

.........

.

........

..

Answer:

0.04

Step-by-step explanation:

Standard deviations== square root of variance define as spread.

Standard deviations square = variance

[0.2]^2= 0.04

This scatter plot shows the data collected by measuring the amount of water in a tank every 15 minutes. What is the equation of the line of best fit?


A: y= -4/3x+120

B: 4/2x+120

C: -3/4x+60

D: -4/3x-60

E: -3/4x-120

Answers

Answer:

  A:  y= -4/3x+120

Step-by-step explanation:

The blue line on the plot has a y-intercept of +120, matching choices A and B only.

The line has a negative slope, matching choice A. If you count grid squares, you find the slope is -40/30 = -4/3, also matching choice A.

Answer:

 A:  y= -4/3x+120

Y is directly proportional to x when x=600 y=10 find a formula for y in terms of x

Answers

Answer:

y = x/60

Step-by-step explanation:

y = kx

k = y / x = 10/600 = 1/60

y = x/60

[tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

What is directly proportional?

We say that, [tex]y[/tex] and [tex]x[/tex] are directly proportional, if  [tex]\frac{y}{x} =k[/tex]  or [tex]y=kx[/tex].

So,

According to the question;

[tex]x=600[/tex]

[tex]y=10[/tex]

From the above statement;

[tex]\frac{10}{600} =k[/tex]

[tex]k = \frac{1}{60}[/tex] ,

So,

[tex]y[/tex] in terms of [tex]x[/tex] is given by,

[tex]y=\frac{1}{60} x[/tex]

Hence, we can say that [tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

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Please answer this correctly

Answers

Answer:

30

Step-by-step explanation:

If these two shapes are similar, then ratios of corresponding sides will stay constant. Therefore:

[tex]\dfrac{g}{45}=\dfrac{50}{75}[/tex]

Multiply both sides by 45:

[tex]g=\dfrac{50\cdot 45}{75}=30[/tex]

Hope this helps!

according to the picture, which of the following is true?












A. I-
B. Hahahaha OMG It's mega mind!!
C. What is wrong with the world
D. I love this, plz make more
E. All of the above​

Answers

Answer:

B is the answer for but I don't now about others thank you

I need help on these 4 chooses.If you are able to help me i would appreciate it because i have been stuck on this for an hour or so.


The First choose is does not/does
The Second choose is 96/216/60
The Third choose is less/more
The Fourth choose is 106.5/194.25/25/50

Answers

Answer:

does216more194.25

Step-by-step explanation:

If you don't consider how the wood might be cut, or how the tray might be assembled, you can look only at the area requirements.

A tray that is 10.5 inches square will have an area of ...

  (10.5 in)^2 = 110.25 in^2

That base will have a perimeter that is 4×10.5 in = 42 in. If the perimeter piece(s) are 2 inches high, the area of the sides of the tray will be ...

  (42 in)(2 in) = 84 in^2

Then the total area of wood required for the proposed tray is ...

  110.25 in^2 +84 in^2 = 194.25 in^2

__

The area of the wood Stephan has is ...

  A = LW = (18 in)(12 in) = 216 in^2 . . . . . . more than required

__

Stephan does have enough wood to make the tray, because he has 216 square inches, which is more than he needs to make the tray, 194.25 square inches.

Rewrite from largest to smallest 2.09,2.9,2.59

Answers

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

hope this helps have a wonderful day

What is the value of k in the product of powers below?

10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseline = 10 Superscript negative 3 Baseline = StartFraction 1 Over 10 cubed EndFraction

Answers

k=2

Step-by-step explanation:

since all the base are 10 you use the powers to solve it.

so it would be -3+1+k=-3=-3

Answer:

k = -1

Step-by-step explanation:

I did the test, good luck! :)

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