A trophy is a solid built from three parts stacked on one vertical axis, all of radius 10.5 cm: a hemisphere at the bottom resting on its curved side, a cylinder of height 10 cm standing on the hemisphere's flat face, and a cone of vertical height 24 cm on top of the cylinder. Find the total volume of the trophy in cm³. Take π = 22/7.

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Accepted Answer

8662.5. Write πr² = (22/7) × 110.25 = 346.5. Hemisphere = (2/3)πr³ = (2/3) × 346.5 × 10.5 = 2425.5 cm³. Cylinder = 346.5 × 10 = 3465 cm³. Cone = (1/3) × 346.5 × 24 = 2772 cm³. Total = 2425.5 + 3465 + 2772 = 8662.5 cm³.

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