A room is in the form of a cylinder surmounted by a hemispherical dome

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

Problem

A room is in the form of a cylinder surmounted by a hemispherical dome. The base radius of the hemisphere is half of the height of the cylindrical part. If the room contains 140821\frac{1408}{21} m3^3 of air, find the height of the cylindrical part. (Use π=227\pi = \frac{22}{7}).

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