# Surface Area?

If the surface area of a sphere is represented by 144pi, what is the volume in terms of pi?

Relevance

area  = 4 pi * r^2

144pi = 4 pi * r^2

r = 6 units

volume = 4/3 * pi * r^3

v = 4/3 * pi * 6^3

v = 288pi units^3

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• Let r be the radius, then

4pi(r^2)=144pi=>

r^2=36=>

r=6

The volume=

4pi(r^3)/3=

4pi(216)/3=

288pi.

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• dear goofle ... what is the formula for ____ ?

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• Surface Area of a sphere

given A = 144π

A = 4πr^2

r^2 = A/(4π)

r^2 = 144π/(4π)

r = √(36)

r = 6 units

solving its volume

V = 4/3πr^3

V = 4/3π(6)^3

V = 288π cubic unit... Answer//

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• V = (4/3)πr^3

A = 4πr^2 = 144π

r^2 = 36

V = (r/3)A = 2A = 288π

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• Formula:

Area = 4πr²

V = (4/3)πr³

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• The equations for the surface area and volume of a sphere is:

SA = 4πr² and V = (4/3)πr³

We are given the SA to be 144π unit², so we can use that to solve for r:

SA = 4πr²

144π = 4πr²

Divide both sides by 4π:

36 = r²

6 = r

Now that we have r, we can find the volume:

V = (4/3)πr³

V = (4/3)π(6)³

V = (4/3)*216π

V = 288π unit³

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