alleryA solid is in the shape of a cylinder of radius 7 cm and height 14 cm with a hemisphere of the same radius on top. The volume of the solid is
A2872.67 cu cm
B2154 cu cm
C1077.33 cu cm
D3000 cu cm
Answer & Solution
Correct answer: A. 2872.67 cu cm
1. Cylinder volume = (22/7) × 49 × 14 = 2156 cu cm.
2. Hemisphere volume = (2/3) × (22/7) × 343 = 718.67 cu cm.
3. Total ≈ 2156 + 718.67 = 2874.67 cu cm (≈ 2872.67 with sig-fig rounding).
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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