Question

Find the radius of a sphere (in cm) whose volume is
$12\pi {cm}^{3}$
​

Answer 1

Hey cutyruchi !

Answer:

$3^{\frac{2}{3} }$ cm

Step-by-step explanation:

Given :

Volume of a sphere  = 12π cm³

To Find :

Radius of the Sphere

Formula :

Volume of a sphere = (4/3)πr³

• Where r is the radius of the sphere.

Procedure :

(4/3)πr³ = 12π cm³

⇒ (4/3)r³ = 12 cm³

⇒ r³ = [12 cm³ × (3/4)]

⇒ r³ = 9 cm³

∴ r = ∛9 cm

⇒ r = ∛3² cm

∴ r = $3^{\frac{2}{3} }$ cm

Thanks !