The ratio of the volume of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is :
Options:
A . 1 : 2
B . 2 : 3
C . 3 : 4
D . 4 : 5
Answer: Option B 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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