A vertical cylindrical water tank of internal radius 2 m becomes full to the brim…

MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A vertical cylindrical water tank of internal radius 2 m becomes full to the brim after a solid metal cylinder of the same radius and height 1.5 m is gently lowered so that it rests flat on the bottom. The total volume of water in the tank after lowering the metal block is 30 m330\,\text{m}^3. Calculate the height of water in the tank before the block was lowered. (Take π=227\pi = \tfrac{22}{7}.)

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