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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration
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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.
Answer:
Solution:
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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