A village water tower is a cylinder of radius 4 m and height 9 m with a hemispherical dome of the same radius on top. Find the total volume enclosed, in cubic metres, correct to two decimals. (Take π = 3.14.)

Question

Accepted Answer

586.13. Cylinder = \π r^2 h = (3.14)(16)(9) = 452.16 m³. Dome = 2/3\π r^3 = 2/3(3.14)(64) = 133.97 m³. Total = 452.16 + 133.97 = 586.13 m³. 720.11 uses 4/3\π r^3 for the dome, which would be a whole sphere; 452.16 counts the cylinder only; 1172.27 is double the correct total.

A village water tower is a cylinder of radius 4 m and height 9 m with a hemispherical dome of the same radius on top. Find the total volume enclosed, in cubic metres, correct to two decimals. (Take π = 3.14.)

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