Find the diameter of a spherical ball whose volume is…

Find the diameter of a spherical ball whose volume is 38.808 cm³. $( \pi = \frac{22}{7})$

Show answer & explanation

Correct answer: A

Explanation

The correct answer option 1 i.e. 4.2 m.

Given that

Volume = 38.808

Volume = $\frac{4}{3}$ × π × r³

This is equal to 38.808

Hence, r³ = $\frac{38.808 × 7 × 3}{4 × 22}$

Solving for r we get

r = 2.1 m

Hence, the diameter of the spherical ball is 2.1 × 2 = 4.2 m

SSC CHSL 2024 PYQ — Question 75