alleryA solid wooden toy has 4 cm cube + 4 cm hemispherical depression. The volume of wood is
A64 cu cm
B(64 - 16 pi/3) cu cm
C64 + 16 pi/3 cu cm
D4 pi cu cm
Answer & Solution
Correct answer: B. (64 - 16 pi/3) cu cm
1. Cube volume = 4 cubed = 64.
2. Hemisphere of radius 2 (must fit on a face) volume = (2/3) pi × 8 = 16 pi/3.
3. Wood = 64 - 16 pi/3.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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