A cattle trough is 3 m long. Its upper part is an open cuboid 3 m by 1.4 m by 0.5 m deep, and below it the bottom is rounded off as half of a cylinder of radius 0.7 m and length 3 m. Find the capacity of the trough in litres. (Take π = 22/7.)

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Accepted Answer

4410. Cuboid part = 3 × 1.4 × 0.5 = 2.1 m³. The rounded bottom is half a cylinder: 1/2\π r^2 l = 1/2 × 22/7 × 0.49 × 3 = 2.31 m³. Total = 4.41 m³, and 1 m³ = 1000 litres, so the capacity is 4410 litres. 2100 counts the cuboid only; 6720 treats the bottom as a WHOLE cylinder instead of half of one; 4.41 leaves the answer in m³ without converting to litres.

A cattle trough is 3 m long. Its upper part is an open cuboid 3 m by 1.4 m by 0.5 m deep, and below it the bottom is rounded off as half of a cylinder of radius 0.7 m and length 3 m. Find the capacity of the trough in litres. (Take π = 22/7.)

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