SSC CGL 2023 PYQ — Question 55

SSC CGL - 19 July 2023 - Shift 1 • Quantitative Aptitude • Q55

A conical tent has a radius of 7 m and a vertical height of 24 m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 2 m3?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 616.

A conical tent has a radius (r) of 7 m and a vertical height (h) of 24 m

the rice in each bag is 2 m3

Let the number of rice bags be N

The volume of cone = 13\frac{1}{3}πr2h cubic units

The volume of the conical tent = N × volume of each rice bag

⇒  13\frac{1}{3}πr2h = N × 2

⇒ (1/3) × (22/7) × 7 × 7 × 24 = 2N

⇒ N = 616