ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration

Question 5 Mensuration Exercise 17.5

A rectangular water tank of base 11 m x 6 m contains water upto a height of 5 m. if the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.



Although we are transferring water from rectangular water tank to cylindrical water tank, volume of the water stays the same.

Given dimensions of the rectangular water tank = 11 m × 6 m

Height of water in tank = 5 m

Volume of water in tank = 11×6×5 = 330 m3

Radius of the cylindrical tank, r = 3.5 m

Volume of cylindrical tank =π r2h

π r2h = 330

(22/7)×3.52×h = 330

(22/7)×12.25×h = 330

h = 330×7/22×12.25

= 8.57 m

Hence the height of the water level in the tank is 8.57m.

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