What is the volume(in cm³) of a spherical shell whose inner and outer radii are respectively 2 cm and 3 cm ?

$\frac{76 \pi}{3}$

We know that,

Volume of a hollow sphere = \(\frac{4}{3}\)π(R³ – r³)

We have,

Inner radius (r) = 2 cm

Outer radius (R) = 3 cm

Volume of a hollow sphere =

= \(\frac{4}{3}\) × π × (3³ – 2³)

= \(\frac{4}{3}\) × π × (27 – 8)

= \(\frac{4}{3}\) × π × 19 = $\frac{76 \pi}{3}$