Question

16.
A cylinder and a cone are of same base radius and of same height. Find the ratio of the volur
of cylinder to that of the cone.
10 -Rao's Academy
SSLC MOCK EXAM • MATHEMATICS
PAPER 4​

Answer 1

$given \\ radius \: of \: base \: and \: height \: of \: cone \\ and \: cylinder \: are \: equal ....so\\ volume \: of \: cylinder \: = \pi {r}^{2} h \\ volume \: of \: cone \: = \frac{1}{3} \pi {r}^{2} h \\ ratio \:of \: the \: volume \: of \: cylinder \: \\ to \: that \: of \: the \: cone \: is \: given \: by \\ = \frac{volume \: of \: cone}{volume \: of \: cylinder} \\ = \frac{ \frac{1}{3} \pi {r}^{2}h }{\pi {r}^{2} h} \\ = \frac{ \frac{1}{3} }{1} \\ = \frac{1}{3} \\ volume \: of \: the \: cone \: is \: one \: third \: the \: \\ volume \: of \: cylinder$

HOPE THIS HELPS YOU MATE.....

PLEASE MARK IT AS BRAINLIEST....!!!!!