SSC CGL 2022 PYQ — Question 67

SSC CGL - 06 Dec 2022 - Shift 2 • Quantitative Aptitude • Q67

The external diameter of an iron pipe is 20 cm and its length is 12 cm. If the thickness of the pipe is 1 cm, find the surface area of the pipe (take π = 22/7) correct to two places of decimal.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1,552.57 cm2.

The external diameter of an iron pipe = 20 cm

R = 20/2 = 10

length = 12 cm

Thickness = 1 cm

So, the inner radius r = 10 - 1 = 9 cm

TSA of hollow pipe = 2πh(R + r) + 2π (R2-r2)

= 2π × 12(10 + 9) +  2π(10 + 9)(10 - 9)

= 456π + 38π

= 494 × 3.14

= 1,552.57 cm2