Water is pouring into a conical vessel (as shown in the given figure),

1.	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» 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

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»

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