alleryA toy is in the shape of a cone surmounted on a hemisphere of the same radius 3.5 cm. The total height is 15.5 cm. The volume of the toy is
A180 cu cm
B243.83 cu cm
C154 cu cm
D500 cu cm
Answer & Solution
Correct answer: B. 243.83 cu cm
1. Cone height = 15.5 - 3.5 = 12; cone volume = (1/3) × (22/7) × 12.25 × 12 = 154 cu cm.
2. Hemisphere volume = (2/3) × (22/7) × 42.875 ≈ 89.83.
3. Total ≈ 154 + 89.83 = 243.83 cu cm.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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