SSC GD 2024 PYQ — Question 57

SSC GD Const (English) - 26 Feb 2024 - Shift 1 • Quantitative Aptitude • Q57

Height of a cone is 24 cm and radius of its base is 10.5 cm. What is the volume of the cone?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2772 cm³.

The volume of a cone (V) = 13πr2h\frac{1}{3} \pi r^2 h

(r) is the radius of the base = 10.5 cm.
(h) is the height of the cone = 24 cm.

π≈3.1416\pi \approx 3.1416
⇒ V = 13π(10.5)2(24)\frac{1}{3} \pi (10.5)^2 (24)

⇒ V = 13×3.1416×110.25×24\frac{1}{3} \times 3.1416 \times 110.25 \times 24

⇒ V  = 13×3.1416×2646\frac{1}{3} \times 3.1416 \times 2646

⇒ V = 13×8316.05\frac{1}{3} \times 8316.05

⇒ V = 2772.02 cm3  or 2772 cm3