An open water channel is made from a pipe cut in half along its length, so its cross-section is a semicircle of internal radius 21 cm with the flat side facing upwards. The channel is 10 m long. Find how many litres of water it holds when filled level to the top. Take π = 22/7.

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Accepted Answer

693. Cross-section area = ½πr² = ½ × (22/7) × 441 = ½ × 1386 = 693 cm². The length is 10 m = 1000 cm, so the volume = 693 × 1000 = 693000 cm³. Since 1000 cm³ = 1 litre, it holds 693 litres.

An open water channel is made from a pipe cut in half along its length, so its cross-section is a semicircle of internal radius 21 cm with the flat side facing upwards. The channel is 10 m long. Find how many litres of water it holds when filled level to the top. Take π = 22/7.

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