A steam boiler is a cylinder 9 m long with a hemispherical cap closing each end. The radius everywhere is 2 m. Find the total volume of the boiler in cubic metres, correct to two decimals. (Take π = 3.14.)

Question

Accepted Answer

146.53. The two hemispherical caps together make one full sphere: 4/3\π r^3 = 4/3(3.14)(8) = 33.49 m³. Cylinder = \π r^2 h = (3.14)(4)(9) = 113.04 m³. Total = 113.04 + 33.49 = 146.53 m³. 129.79 counts only one hemisphere instead of two; 180.03 uses 4/3\π r^3 for EACH cap (double-counting); 113.04 is the cylinder alone.

A steam boiler is a cylinder 9 m long with a hemispherical cap closing each end. The radius everywhere is 2 m. Find the total volume of the boiler in cubic metres, correct to two decimals. (Take π = 3.14.)

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