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The radii of the bases of a cylinder and a cone are in the ratio of 3:4 and their heights are in the ratio 2:3.Find the ratio of their volumes.



The Brainliest Answer!
So volume of a cone=\frac{1}{3} \pi r^2h
where r is the radius of the cone
            h is the height of the cone 
and volume of a cylinder=\pi r'^2h'
where r' is the radius of the cylinder
            h' is the height of the cylinder
so as  \frac{r'}{r}= \frac{3}{4}, \frac{h'}{h}= \frac{2}{3}
So ratio of
=\frac{\pi r'^2h'}{\frac{1}{3} \pi r^2h}  (π on above and below i cancelled)
=3( \frac{r'}{r} )^2( \frac{h'}{h} )= 3( \frac{3}{4} )^2( \frac{2}{3} )
= 3\frac{9}{16} (\frac{2}{3})=3( \frac{3}{16} )2
3 above and below are cancelled 
and then 16/2=8
4 5 4
u post ur question other than going on commenting..
i have no points
then try to answer some questions earn points and ask
The answer is 9/8
for ur question
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