a) 2 : 3
b) 3 : 2
c) 3 : 4
d) 4 : 3
Answer: c
Explanation: Let their radii be 3x, 4x and heights be 4y, 3y
Ratio of their volumes :
$$\eqalign{
& = \frac{{\pi \times {{\left( {3x} \right)}^2} \times 4y}}{{\pi \times {{\left( {4x} \right)}^2} \times 3y}} \cr
& = \frac{{36}}{{48}} \cr
& = \frac{3}{4}\,Or\,3:4 \cr} $$
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