Question

The radius of a sphere (in cm) whose volume is 36 π cm³, is ______.

Options

• 3

• `3sqrt3`

• `3^(2/3)`

• `3^(1/3)`

Answer 1

The radius of a sphere (in cm) whose volume is 36 π cm³, is 3.

Explanation:

Given: Volume of a sphere (V)  = 36 π cm³

Formula: The volume (V) of a sphere is given by:

V = `4/3 pi r^3`

`36 pi = 4/3 pi r^3`

`36 = 4/3 r^3`

36 × 3 = 4 r³

108 = 4 r³

`r^3 = 108/4`

r³ = 27

r = 3 cm