Question

The surface area of sphere is 576π cm². Find its volume.​

Answer 1

MATHS

MEDIUM

The surface area of sphere is (576π)cm2. Find its volume.

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ANSWER

We know that 

Surface area of the sphere =4πr2

By substituting the values 

4πr2=576π

On further calculation 

r2=4576=144

By taking square root

r=12cm

We know that

Volume of the sphere =34πr3

By substituting the values

Volume of the sphere =34×π×(12)3

So we get 

Volume of the sphere =2304π cm3

Therefore, the volume of the sphere is 2304π cm3.

Answer 2

Answer

We know that

Surface area of the sphere = 4 πr2

By substituting the values

4 πr2 = 576π

On further calculation

r2 = 576/ 4 = 144

By taking square root

r = 12cm

We know that

Volume of the sphere = 4/3 πr3

By substituting the values

Volume of the sphere = 4/3 × π × (12)3

So we get

Volume of the sphere = 2304 π cm3

Therefore, the volume of the sphere is 2304 π cm3.

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