Question

Find the radius of a sphere whose volume is numerically equal to its surface area. also, find its volume.

Answer 1

If volume of sphere = surface area of sphere
4πr²=4/3πr³
r=3;
Volume of sphere= 4/3πr³
=4/3*22/7*3*3*3;
=88*9/7
=792/7
=113.14cm³

Answer 2

The radius of the sphere whose volume is numerically equal to its surface area is 3 and the volume of the sphere is 113.14 cm³.

• Volume of sphere = Surface area of the sphere

(4/3)πr³ = 4πr²

r = 3 units

• Now ,

Volume of the sphere = (4/3)πr³

Volume of the sphere = (4/3)π3³ = 113.04 cubic units.

Volume of the sphere is 113.14 cubic units.