SSC CGL 2016 PYQ — Question 51

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q51

A hollow cylindrical tube 20 cm long is madeofiron andits external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take )

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 440

volume of hollow cylinder = π(r12 − r22)h

h = 20

r1 (external radius) = external diameter ÷ 2 = 8 ÷ 2 = 4

r2 (internal radius) = internal diameter ÷ 2 = 6 ÷ 2 = 3

volume of hollow cylinder = π(42 − 32)20 = (7)20 = 440

Short Trick:

In this question answer will be multiple of 11. So check the option which will be divisible by 11.

Only option 2 is divisible by 11.