Question

The diameters of two cylinders are in the ratio 2:3 Find the ratio of their heights if their volume is the same

• A. 3:2
• B. 6:5
• C. 9:4
• D. 9:5

Answer 1

Answer: (C)

$d_1:d_2=2:3$
$h_1:h_2=?$
$r_1:r_2=1:1.5$
$V_1=V_2$
$\therefore \pi r_1^2{h}_1=\pi r_2^2{h}_2$
$\therefore 1^2{h}_1={1.5}^2{h}_2$
$\therefore \frac{h_1}{h_2}=\frac{2.25}{1}=\frac{225}{100}=\frac{9}{4}$'