alleryA solid is composed of a cone and a hemisphere of equal radius. The ratio of the volumes of the cone (height equal to radius) to the hemisphere is
A1 : 1
B1 : 2
C2 : 1
D1 : 3
Answer & Solution
Correct answer: B. 1 : 2
1. Cone volume = (1/3) pi r squared × r = (1/3) pi r cubed.
2. Hemisphere volume = (2/3) pi r cubed.
3. Ratio = (1/3) : (2/3) = 1 : 2.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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