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

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

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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