SSC Selection Post 2023 PYQ — Question 60

SSC Selection Post - Graduation Level - 30 June 2023 - Shift 1 • Quantitative Aptitude • Q60

The volume of a cylinder is 1650 m3. Whereas the surface area of its base is 784778{{4} \over 7} m3. Find the height of the cylinder.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 21 m.

Base area = πr2 = 784778{{4} \over 7} = 550/7

⇒ r2 = (550/7) × (7/22) = 25

⇒ r = 5 m

Volume = πr2h = 1650

⇒ (22/7) × 25 × h = 1650

⇒ h = (1650 × 7)/(22 × 25) = 21 m