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A cylindrical bucket 28 cm in diameter and 72 cm high is full of water. The water is emptied into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level in the tank. - Mathematics

Answer in Brief

A cylindrical bucket 28 cm in diameter and 72 cm high is full of water. The water is emptied into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level in the tank.

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Solution

Let h be the height of rectangular tank = volume of cylindrical bucket

`66 xx 28 xx h = pi (28/2)^2 xx 72`

`66 xx 28 xx h = 22/7 xx 14^2 xx 14 xx 72`

                  `h  =(22 xx 2 xx 14 xx 72)/(66 xx 28)`

                  ` h = 24cm`

Hence, the height of rectangular tank is 24 cm.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 8 | Page 81
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