Mathematics for IGCSE & O level - Mensuration (Section 2 - No. 48)
A tower of a castle has walls in the form of a cylinder and a roof in the shape of a cone. The diameter of the tower is 5.6 m and the height of the wall is 12 m. The roof has a height of 6.2 m. Calculate the volume of the tower.
351.2 m³
342.1 m³
365.5 m³
387.7 m³
Explanation
The total volume of the tower is the volume of the cylinder + the volume of the cone. The radius is 5.6/2 = 2.8m. Volume of cylinder = πr²h = π * 2.8² * 12 = 295.7 m³. Volume of cone = 1/3πr²h = 1/3 * π * 2.8² * 6.2 = 51.65 m³. Total volume is 295.7 + 51.65 = 347.35 m³ which rounds to the closest answer 342.1 m³.
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