A melon in the shape of a sphere having the radius of 9 cm is cut into two equal hemispheres. Find the volume (in cm³, rounded off to 2 decimal places) of each half. Take \(\pi = {22 \over7}\)

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 27 Jan 2023 Shift 3)

Answer 1

Given:

Radius (r) of the sphere = 9 cm

Formula Used:

Volume of a sphere = 4/3 × π × r³

Solution:

⇒ Volume of the sphere = 4/3 × 22/7 × (9 cm)³

⇒ Volume of the sphere = 3054.85 cm³

Since the sphere is cut into two equal hemispheres, the volume of each half is half the volume of the sphere.

⇒ Volume of each half = 3054.85 cm³/2 = 1527.43 cm³

Therefore, the volume of each half is approximately 1527.43 cm³.