Question
A pipe fills a cubical tank at the rate of 243
m3 per minute in 24 minutes. If a cylindrical tank having height same as the side of a cubical tank and the curved surface area of the cylindrical tank is 1584 m2, then find the difference between the volumes of cylindrical tank and cubical tank.Solution
Capacity of cubical tank = 243 × 24 = 5832 m3 Let, side of cubical tank = ‘x’ m So, x3 = 5832 m3 x = 18 m So, height of cylindrical tank = 18 m Let, radius of cylindrical tank = ‘r’ m So, 2 × 22/7 × r × 18 = 1584 r = 14 m Volume of cylindrical tank = 22/7 × 14 × 14 × 18 = 11088 m3 Required difference = 11088 – 5832 = 5256 m³
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