SSC CHSL 2023 PYQ — Question 57

SSC CHSL 2023 - 03 Aug 2023 - Shift 2 • Quantitative Aptitude • Q57

Find the volume of the largest possible sphere circumscribed by a cube with an edge of 7 cm.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 179.67 cm3.

Given that

A cube with an edge of 7 cm

The volume of the largest possible sphere circumscribed by a cube V = 4/3 π r³

According to the question

The radius of sphere = 7/2 = 3.5 cm

Volume of the largest possible area = 4/3 × (22/7) × 3.53 = 179.67 cm3