Question:
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.
Solution:
Let h be the height of rectangular tank = volume of cylindrical bucket
$66 \times 28 \times h=\pi\left(\frac{28}{2}\right)^{2} \times 72$
$h=24 \mathrm{~cm}$
Hence, the height of rectangular tank is 24 cm.
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