a) 1 : 2
b) 2 : 3
c) 3 : 4
d) 4 : 5
Answer: b
Explanation: Let the radius of the hemisphere be be r cm
Then, radius of the cylinder = r cm
Height of the cylinder = r cm
Required ratio :
$$\eqalign{
& = \frac{{{\text{Volume of hemisphere}}}}{{{\text{Volume of cylinder}}}} \cr
& = \frac{{\frac{2}{3}\pi {r^3}}}{{\pi {r^2} \times r}} \cr
& = \frac{2}{3}\, Or\,2:3 \cr} $$
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