Question

Water flows at the rate of 10 metre per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

(a) 48 minutes 15 sec

(b) 51 minutes 12 sec

(c) 52 minutes 1 sec

(d) 55 minutes

Answer 1

The radius of cylindrical pipe

The volume per minute of water flow from the pipe

The radius of cone

Depth of cone = 24 cm

The volume of cone

The time it will take to fill up a conical vessel

Hence, the correct answer is choice (b).