Question

If the volume and surface area of a sphere are numerically equal, then find its radius???

Answer 1

Answer:

Volume of sphere = Surface area of sphere

4/3πr³ = 4πr²

so, 4 and π² cancel and here :

r = 3

Answer 2

GIVEN :

Volume and Surface are of sphere are numerically equal.

Volume of Sphere = 4/3πr³

Surface area of Sphere = 4πr²

According to the problem,

4/3πr³ = 4πr²

4/3 π × r × r × r = 4 π × r × r

4/3 × r = 4

r = 4 × 3/4

r = 3

Therefore, the radius of the sphere is 3cm.