The volume of a sphere is 38808 cm3. Find its radius and hence its sur

1.	The volume of a sphere is 38808 cm3. Find its radius and hence its surface area.
Answer» We know that Volume of the sphere = 4/3 πr³ By substituting the values 38808 = 4/3 × (22/7) × r³ On further calculation r³ = (38808 × 3 × 7)/ 88 So we get r³ = 9261 By taking cube root r = 21cm We know that Surface area of the sphere = 4 πr² By substituting the values Surface area of the sphere = 4 × (22/7) × 21² So we get Surface area of the sphere = 5544 cm² Therefore, the radius of the sphere is 21cm and the surface area is 5544 cm².

The volume of a sphere is 38808 cm3. Find its radius and hence its surface area.

Answer»

We know that

Volume of the sphere = 4/3 πr³

By substituting the values

38808 = 4/3 × (22/7) × r³

On further calculation

r³ = (38808 × 3 × 7)/ 88

So we get

r³ = 9261

By taking cube root

r = 21cm

We know that

Surface area of the sphere = 4 πr²

By substituting the values

Surface area of the sphere = 4 × (22/7) × 21²

So we get

Surface area of the sphere = 5544 cm²

Therefore, the radius of the sphere is 21cm and the surface area is 5544 cm².