Question
A pipe fills a cubical tank at the rate of 384
m3 per minute in 36 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 2112 m2, then find the difference between the volumes of cylindrical tank and cubical tank.Solution
Capacity of cubical tank = 384 × 36 = 13824 m3 Let, side of cubical tank = ‘x’ m So, x3 = 13824 m3 x = 24 m So, height of cylindrical tank = 24 m Let, radius of cylindrical tank = ‘r’ m So, 2 × 22/7 × r × 24 = 2112 r = 14 m Volume of cylindrical tank = 22/7 × 14 × 14 × 24 = 14784 m3 Required difference = 14784 – 13824 = 960 m³
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