If the surface area of a sphere is 64 π cm², then the volume of the sphere is:

Question

Question

This question was previously asked in

SSC CHSL 2021 (Held On : 24 May 2022 Shift 3)

Answer 1

GIVEN:

The surface area of a sphere = 64πcm2

FORMULA USED:

The surface area of a sphere = 4πr²

The volume of a sphere =

CALCULATION:

The surface area of a sphere = 64π

⇒ 4πr2 = 64π

⇒ r2 = 16

⇒ r = 4cm

Now, volume = 4/3 = 4/3 ×π × 4 × 4 × 4 = .

∴ The volume of the sphere is .