what is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?​

Answers

Answer 1

9514 1404 393

Answer:

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

V = 4/3πr³ . . . sphereV = 1/3πr²h . . . cone

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.


Related Questions

Which inequality is shown in the graph below?

Answers

Answer:

B. y<2x-2

Step-by-step explanation:

Hope that helps!

ILL MARK U BRAINLEST OKAY!

Answers

Answer:

march

Step-by-step explanation:

the negatives are all lower then 0, hope this helps

Answer:

It's march.

Step-by-step explanation:

IS MY ANSWER CORRECT ?? ASA IS THE WRONG ANSWER BTW

Answers

Answer:

yes

Step-by-step explanation:

Which graph represents a linear function

Answers

Answer:

A

Step-by-step explanation:

Answer:

The first Picture

Step-by-step explanation:

It is the only one with a staight line.

Can i have brainliest

A snail can crawl at a rate of 6 cm in 0.75 minutes. Which represents the constant rate of change of the snail's crawl?

Answers

Answer:

0.00133m/s

Step-by-step explanation:

Given

distance crawled by the snail = 6cm = 0.06m

Time taken = 0.75minutes = 0.75*60

Time taken = 45secs

Required

constant rate of change of the snail's crawl (speed)

Speed of the snail = distance/time;

Speed of the snail = 0.06/45

Speed of the snail = 0.00133m/s

Hence the constant rate of change of the snail's crawl in m/s is 0.00133m/s

A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function. n(t) = 3.53t^2 - 33.04t + 117.56 Which graph would most likely be associated with the given model?

Answers

Answer:

its B

Step-by-step explanation:

The graph that would most likely be associated with the given model is an option(b).

What is a graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The regression equation is:

n(t) = 3.53t^2 - 33.04t + 117.56

The above regression equation is a quadratic function and non-linear.

thus, the graph must represent a non-linear relationship.

From the graphs, the only graph of the option (b) represents a quadratic function.

Other given options are either linear models or exponential.

Hence, the graph that would most likely be associated with the given model is an option(b).

Read more about regression models at:

https://brainly.com/question/18469538

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Solve the system
X-2y+2z=9
-x+3y=-4
2x-5y+3z=16

Answers

the answer:

x=1

y= -1

z= 3

An airplane takes three hours to travel a distance of 1320 miles with the wind the return trip takes four hours against the wind find the speed of the plane in still air and the speed of the wind

Answers

Answer:

106.6 mi/h,    26.6 mi/h

Step-by-step explanation:

PRIMERO SE CALCULA LE VELOCIDAD CON EL VIENTO QUIETO

v = [tex]\frac{320 mi}{3 h}[/tex] = 106.6 mi/h

DESPUÉS SE ENCUENTRA LA VELOCIDAD DEL AVIÓN EN CONTRA DEL

VIENTO

v = [tex]\frac{320 mi}{4 h}[/tex] = 80 mi/h

FINALMENTE SE ENCUENTRA LA VELOCIDAD DEL VIENTO

v = 106.6 mi/g - 80 mi/h = 26.6 mi/h

Question 3
Find the measure of the angle indicated by the ?

Answers

Answer:

C. 75 degrees

Step-by-step explanation:

160°-85°=75°

Answer:

C

Step-by-step explanation:

180 - 160 = 20

85 + 20 = 105

180 - 105 = 75

what is 485,783 rounded to its greatest place?​

Answers

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

fhdryyyyyyyyyyyyetttttttttt

Answers

Answer:

fjkn QLJKFnclqnmjfn,msfjv

Step-by-step explanation:

Answer:

jsoanjcisnzocisjsncjhsjakznc aknxosjz

Step-by-step explanation:

hajxkfj snksksnc

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?

Answers

Answer:

2, 4, 10 or 20 students

Step-by-step explanation:

Prime factors:

20 = 2*2*540 = 2*2*2*5

Common factors of the two numbers:

2, 4, 10, 20

Possible number of students as above

What is 0.00000387 in scientific notation? A. 0.387 × 10–7 B. 3.87 × 10–6 C. 3.87 × 106 D. 387 × 10–8]

Answers

Answer:

C

Step-by-step explanation:

-2/3 x 3/4
Please help!

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-9/8.

Step-by-step explanation:

-3/2 * 3/4

= -3*3 / 2*4

= -9/8.

Find the length of JL
15
None of the other answers are correct
12
3

Answers

Answer:

D: 12

Step-by-step explanation:

The entire segment KI is composed of the segments KJ and JI. So:

[tex]KI=KJ+JI[/tex]

We know that KI is 15.

KJ is (2x-15) and JI is (2x-6). Substitute:

[tex]15=(2x-15)+(2x-6)[/tex]

Solve for x. Combine like terms:

[tex]15=4x-21[/tex]

Add 21 to both sides:

[tex]4x=36[/tex]

Hence, the value of x is:

[tex]x=9[/tex]

We know that JI is 2x-6.

We will substitute 9 for x to find JI. So:

[tex]JI=2(9)-6=18-6=12[/tex]

Hence, our answer is D.

Find the value of y in the given parallelogram

Answers

Answer:

Y = 5

Step-by-step explanation:

first you subtract 5y from 9y to get 4y, then you add 13 to 7 to get 20, and then you divide 4 and 20 for your answer.

Which conclusion is best supported by this graph? Most people paid about $300 for a new home in 2013. Most people can never afford to buy a home. Most people need to take out a mortgage to purchase a home. Most people pay back a loan for a home in a short period of time.

Answers

Answer:

C) Most people need to take out a mortgage to purchase a home.

Step-by-step explanation:

A child has a box full of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 5/12. What is the probability of choosing a blue block?

Answers

if the odds AGAINST choosing a blue block are 5/12, that means that the odds FOR choosing a blue block would are 7/12 because 5+7=12

Which equation represents the graph?

Answers

Answer:

The answer is A) y+4 =3(x+3)

Step-by-step explanation:

The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.

Your options are given in point-slope form:

y-y1=m(x-x1)

Pick a point from the graph. I used;

(-3, -4). Now plug this into your point slope form equation.

y-(-4) = 3(x-(-3))

y+4=3(x+3)

Find the value of ƒ(5) if​

Answers

Answer:

A) 19

Step-by-step explanation:

3(5) + 4 = 19

Hope this helps you

Answer:

19

         / 2(5)-7 = 10-7 = 3   .    3 <= 1                     false

F(5)

         \ 3(5)+4 = 15+4 + 19 .    19 > 0                      true

Micro Knowledge sells 5 times as many computers as Morse Electronics. The difference in sales between the two stores is 20 computers. How many computers did each store sell?

Answers

Answer:

Morse electronics sells 5 computers

Micro knowledge sells 25 computers

Step-by-step explanation:

The computation is shown below:

Let us assume the morse electronics computer be x

So the micro knowledge computers be 5x

And, the difference between them is 20

Now the equation is

5 x - x = 20

4x = 20

x = 5

Hence, the morse electronics sells 5 computers

While on the other hand the micro knowledge sells

= 5 × 5

= 25 computers

What is 10/5.5 simplified

Answers

Answer:

1 81/99

Step-by-step explanation:

The answer is the mixed number 1 81/99. Hope it helps!

The fraction 10/5.5 with decimal denominator can be simplified to the lowest term as 20/11 or as a decimal 1.8181 approximately to four decimal place.

How to simplify the fraction with decimal denominator

To simplify the fraction with decimal denominator, first convert the decimal to fraction and then use its reciprocal to multiply the numerator as follows:

5.5 = 55/10

so that the original fraction becomes;

10/5.5 = 10 ÷ 55/10

10/5.5 = 10 × 10/55 {the division become multiplication by multiplying the the numerator with the reciprocal of the denominator}

10/5.5 = 100/55

10/5.5 = 20/11

or

10/5.5 = 1.8181 as a decimal.

Therefore, the fraction with decimal denominator can be simplified to the lowest term as 20/11 or as a decimal 1.8181 approximately to four decimal place.

Read more about fraction here:https://brainly.com/question/30154928

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A stock price is $100. Volatility is estimated to be 20% per year. What is the an estimate of the standard deviation of the change in the stock price in one week?

Answers

Answer: if I’m correct the answer is $0.38

Step-by-step explanation:

The estimate of the standard deviation of the change in the stock price in one week is $2.77.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Stock price = $100

Volatility = 20% ⇒ 0.20

We know the standard deviation of change in the stock price is given by:

[tex]\rm = \frac{stock \ price \times implied \ volatility \times \sqrt{days \ to \ change} }{\sqrt{365} }[/tex]

[tex]\rm = \frac{100\times 0.20\times\sqrt{7} }{\sqrt{365} }[/tex]   (1 week = 7 days)

= 5.2343×0.20×2.646

= 2.7699 ≈ $2.77

Thus, the estimate of the standard deviation of the change in the stock price in one week is $2.77.

Learn more about the standard deviation here:

brainly.com/question/12402189

What is the rat pop in 1990?
What does the model predict the rat pop was in the year 2005?

Answers

Answer:

Pop in 1990 = 81 million rats

Pop in 2005 = 127 million rats

Step-by-step explanation:

Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.

The rat population in 2005 is given by the formula when t = 15

This is: approximately 127 million rats.

Combine like terms: -4x+3-7x-8

Answers

Answer:

Basicly you just combine the terms that are the same. Combine -4x and -7x. Also combine 3 with -8.

Step-by-step explanation:

A tv is 37 inches long and the width is 12 inches how tall is the tv?

Answers

Answer:

35 inches

I hope this helps!

write the equation of a line whose slope is -4 and that passes through the point (-2,9)

Answers


Equation of the line:

y = -4x + 1

George claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George's age. Then simplify the expression. If George is 42 years old now, how old will Pam be next year?

Answers

Answer:

G = George's age

G = 3(P+1) - 3

G = 3P + 3 - 3

G = 3P

Step-by-step explanation:


7. If a rectangular den has an area of 68 3/4 square yards and one side
that's 8 1/4 yards long, how long is the other side? *

Answers

Answer:

26

Step-by-step explanation:

I 8 1/4 x 2 and I got 16 and 2/4 then I subtracted that and got 52 1/4 and then i divided it and got 26 so yh I dunno.

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y
for this line.
The linear function rule is y=?

Answers

Answer:

The linear function rule is [tex]\mathbf{y=x+13}[/tex]

Step-by-step explanation:

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y

for this line.

The function rule is of form: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=4, y_1=17, x_2=7, y_2=20[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{20-17}{7-4}\\Slope=\frac{3}{3}\\Slope=1[/tex]

Finding y-intercept b

Using the point (4,17) to find y-intercept b

[tex]y=mx+b\\17=1(4)+b\\17=4+b\\b=17-4\\b=13[/tex]

So, the linear function rule is:

[tex]y=mx+b\\y=1x+13\\\mathbf{y=x+13}[/tex]

The linear function rule is [tex]\mathbf{y=x+13}[/tex]

A line passes through the points (4,17) and (7,20).

The linear function rule is y= 1x+13

Given :

A line passes through the points (4,17) and (7,20).

The linear function is y=mx+b where m is the slope

lets find out slope using formula

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\(4,17) and (7,20)\\m=\frac{20-17}{7-4}=1 \\[/tex]

Slope of the line using the given points is 1

Lets pick any one point (4,17) and use slope to find function rule y

y=mx+b

x is 4  and y is 17  and m=1

[tex]17=1(4)+b\\17=4+b\\17-4=b\\13=b[/tex]

Replace the value of 'b' and write the equation

[tex]y=mx+b\\y=1x+13[/tex]

The linear function rule is y= 1x+13

Learn more :  brainly.com/question/20850886

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