SSC CGL 2024 PYQ — Question 62

SSC CGL - 13 Sep 2024 - Shift 1 • Quantitative Aptitude • Q62

What is the height in (m) of a conical water tank having radius of 70 m and volume of 46,200 m3 ? ( take pi = 22/7 )

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 9

We are given:

Volume, V = 46,200 m3

Radius, r = 70 m

Volume =1/3​πr2h

⇒ 1/3 × 22/7 × 70 × 70 × h = 46200

⇒ 46,200 = 1/3​ × 22/7​ × 4900 × h

⇒ (46200 × 7 × 3)/(4900 × 22) = h

⇒ h = 9

The height of the conical water tank = 9 m