SSC CGL 2020 PYQ — Question 53

SSC CGL - 4th March 2020 Shift 1 • Quantitative Aptitude • Q53

The circumference of the base of a conical tent is 66 m. If the height of the tent is 36 m, what is the area (in m2) of the canvas used in making the tent? (Take π = 22/7)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e 1237.5.

Understanding/Application

The circumference of the base of a conical tent = 66 m

2πr = 66

r = 33/(22/7) = 21/2 m

h = 36 m

l = √r2 + h2

l = √(21/2)2 + 362

l = √(441/4) + 1296

= 75/2 = 37.5 m

Area = πrl = (22/7) × (21/2) × 37.5 = 1237.5 m2