A house has a cuboidal overhead tank 2 m long, 1.5 m wide and 1 m deep, plus a cylindrical underground sump of radius 1.05 m and depth 1 m. Find the total capacity of the two together, in litres. (Take π = 22/7.)

Question

Accepted Answer

6465. Tank = 2 × 1.5 × 1 = 3 m³. Sump = \π r^2 h = 22/7(1.1025)(1) = 3.465 m³. Total = 6.465 m³. Since 1 m³ = 1000 litres, capacity = 6.465 × 1000 = 6465 litres. 6.465 is the answer left in m³ without converting; 3465 is the sump only; 3000 is the tank only.

A house has a cuboidal overhead tank 2 m long, 1.5 m wide and 1 m deep, plus a cylindrical underground sump of radius 1.05 m and depth 1 m. Find the total capacity of the two together, in litres. (Take π = 22/7.)

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