Mathematics for IGCSE & O level - Mensuration (Section 13 - No. 34)
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. What is the volume of the tower?
234.7 m³
250.7 m³
334.7 m³
295.3 m³
Explanation
First, the volume of the cylinder is calculated as πr²h = π * (2.8)² * 12 = 295.3 m³. Then, volume of the cone = 1/3πr²h = 1/3 * π * 2.8² * 6.2 = 55.1 m³. Therefore, total volume = 295.3 + 55.1 = 350.4 m³
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