A sealed oil drum is a cylinder of radius 28 cm and height 50 cm with a hemispherical dome of the same radius on top. Find its capacity in litres, correct to two decimals. (Take π = 22/7.)

Question

Accepted Answer

169.19. Cylinder = \π r^2 h = 22/7(784)(50) = 123200 cm³. Dome = 2/3\π r^3 = 2/3 × 22/7 × 21952 = 45994.67 cm³. Total = 169194.67 cm³, and 1 litre = 1000 cm³, so capacity = 169.19 litres. 123.2 counts the cylinder only; 215.19 uses 4/3\π r^3 for the dome; 169194.67 forgets to convert cm³ to litres.

A sealed oil drum is a cylinder of radius 28 cm and height 50 cm with a hemispherical dome of the same radius on top. Find its capacity in litres, correct to two decimals. (Take π = 22/7.)

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