SSC CGL 2020 PYQ — Question 88

SSC CGL Tier II - Quant - 15 Nov 2020 • Quantitative Aptitude • Q88

The are of the base of a right circular cone is 81 π cm2 and its height is 12 cm. What is the curved surface area (in cm2) of the cone?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 135π

Concept

CSA of cone = π x r x l

Application

Area of Base = π x r2 = 81π

r2 = 81

r = 9cm

Height = 12 cm

Slant Height = √(r2 + h2)

Putting the values of r and h

l = √(81 + 144)

l = 15 cm

CSA of cone = π x r x l

π x 9 x 15 = 135 π