Question

Water is pouring into a conical vessel (as shown in the given figure), at the rate of 1.8 m³ per minute. How long will it take to fill the vessel?

Answer 1

From the figure, diameter of the cone 5.2 m

Thus its radius ’r’ = 5.2/2 = 2.6 m

∴ Height of the cone = h = 6.8 m 

Volume of the cone = 1/3 πr²h

= 1/3 x 22/7 x 2.6 x 2.6 x 6.8

= 1011.296/21

= 48.156 m³

Quantity of water that flows per minute

= 1.8 m³

∴ Total time required = Total volume/1.8

= 48.156/1.8 = 26.753

27 minutes