The ratio of volumes of a cone and a cylinder whose radii and height are equal is A) 3 : 1 B) 1 : 3 C) 1 : 2 D) 1 : 1
The ratio of volumes of a cone and a cylinder whose radii and height are equal is
A) 3 : 1
B) 1 : 3
C) 1 : 2
D) 1 : 1
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Correct option is: B) 1 : 3
\(\frac {volume \, of\, cone}{volume \, of\, cylinder}\) = \(\frac {\frac 13 \pi r^2h}{\pi r^2h}\) =\( \frac 13 = 1 : 3\)
Hence, the ratio for volumes of a cone and a cylinder whose radii and height are equal is 1 :3.
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