SSC CPO 2024 PYQ — Question 149

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q149

The height and radius of a cone-shaped storage tank are 9 ft. and 7 ft., respectively. Find the volume of water the tank can hold? (User pi = 22/7

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 462 cubic ft.

Given that, height of cone, h = 9 ft

Radius of cone = 7 ft

Volume of cone = 13πr2h{1 \over 3}\pi r^2h

According to the given question,

Volume = 13×227×72×9{1 \over 3}\times {22 \over 7} \times 7^2 \times 9

⇒ Volume = 22 × 7 × 3

⇒ Volume = 462

Hence the volume of the cone is 462 cubic ft.