Question
A pipe fills a cubical tank at the rate of 128
m3 per minute in 32 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 1408 m2, then find the difference between the volumes of cylindrical tank and cubical tank.Solution
Capacity of cubical tank = 128 × 32 = 4096 m3 Let, side of cubical tank = ‘x’ m So, x3 = 4096 m3 x = 16 m So, height of cylindrical tank = 16 m Let, radius of cylindrical tank = ‘r’ m So, 2 × 22/7 × r × 16 = 1408 r = 14 m Volume of cylindrical tank = 22/7 × 14 × 14 × 16 = 9856 m3 Required difference = 9856 – 4096 = 5760 m³
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