A vertical cylindrical water tank of internal diameter and height is exactly half…

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

Problem

A vertical cylindrical water tank of internal diameter 2 m2\text{ m} and height 3 m3\text{ m} is exactly half full of water. The water is to be served in hemispherical bowls of internal diameter 20 cm20\text{ cm}. (i) Calculate the volume of water present in the tank. Give your answer in cubic metres. (ii) Find the volume of one hemispherical bowl in cubic metres. (iii) If 250250 such bowls are completely filled from the tank, calculate the volume of water that will still remain in the tank. Express your answer in cubic metres, correct to three decimal places.

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