SSC CHSL 2022 PYQ — Question 73

SSC CHSL - 26 May 2022 - Shift 2 • Quantitative Aptitude • Q73

The base of a 12 cm-high wooden solid cone has a circumference of 44 cm. Find its volume. (use  π = 22/7) 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 616 cm3 

Concept Used :

Volumeofcone=13πr2hVolume of cone = {1 \over 3}\pi r^2 h

Circumference of base = 2πr2\pi r

Given that, h = 12 cm

Circumference of base = 44 

⇒ 2 × 22/7 × r = 44

⇒ r = 7

Now, volume of cone = 1/3 × 22/7 × 7 × 7 × 12 

⇒ 22 × 7 × 4 = 616

Hence the volume of the cone is 616 cm3.