SSC CGL 2016 PYQ — Question 63

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q63

The lateral surface area of a frustum of a cone, if the area of its base is 16π cm2 and the diameter of the circular upper surface is 4 cm and slant height 6 cm, will be

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 I .e.36π cm2

Application

According to the question,

πR2 = 16π

R2 = 16 

R = √16 = 4

r = 4/2 = 2

Now the area of the frustum = π(R + r)l

= π(4 + 2) × 6 = 36π cm2