SSC CHSL 2022 PYQ — Question 58

SSC CHSL - 26 May 2022 - Shift 1 • Quantitative Aptitude • Q58

What is the volume of the largest right circular cone that can be cut out from a cube whose edge is 10 cm?
 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 250π/3 cm3

The largest cone that can be cut out from a cube is that have a diameter and height the same as the side of the cube.

So, radius of the cone = 5 cm and height = 10 cm

Thus, the volume of such cone = (1/3) × π × 52 × 10 

⇒ (1/3) ×π × 25 × 10 = 250π/3 cm3