SSC Selection Post 2024 PYQ — Question 63

SSC Selection Post - Matriculation Level - 21 June 2024 - Shift 4 • Quantitative Aptitude • Q63

There is a large cone with a diameter of 14 m and a height of 12 m. It is being filled with
water at a rate of 2 m3 in every 20 seconds. How long will it take to fill the cone?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 6160 sec.

Radius = 14/2 = 7 cm

Height = 12 m

Volume of the cone = 131\over3πr2h

⇒ 131\over3 × 22722\over7 × 72 × 12 = 616 m3

Filling rate = 2 m3 per 20 seconds

Rate = 2/20 = 0.1 m3/sec

Time = 6160.1616\over0.1 = 6160 sec