SSC CHSL 2019 PYQ — Question 72

SSC CHSL - 2nd July 2019 - Shift 1 • Quantitative Aptitude • Q72

The volume of a right circular cone is 924 cm3. If its height is 18 cm, then the area of its base (in cm) is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 154

Concept

Application

Fair calculation

Volume of a cone:

 1/3 π r2h

V = 1/3 π r2h

⇒ 924 = 1/3 × 22/7 × r2 × 18

⇒ r2 = 49

⇒ r = 7 cm

Hence,

Area of base = π r2

= 22/7 × 49 = 154 cm2

924 = 1/3 × 22/7 × r2 × 18

⇒ 924/6 = 22/7 × r2

⇒ 42/6 = 1/7 × r2

⇒ r2 = 7 × 7

⇒ r = 7