Question

The ratio of the radius of two right-circular cylinders is 2:3 and the ratio of their heights is 5:3 the ratio of their volumes will be
A) 4:9
B) 9:4
C) 20:27
D) 27:20

Answer 1

$volume \: of \: cylinder = \pi {r}^{2} h \\ \frac{volume \: of \: one \: cylinder}{volume \: of \: other \: cylinder} = \frac{\pi \: \times {2}^{2} \times 5 }{\pi \times {3}^{2} \times 3} \\ = \frac{20\pi}{27\pi} = \frac{20}{27}$