Question

Q.1The volumes and the heights of a cylinder and a cone are equal. Find
the ratio of the radii of their bases.
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Answer 1

Answer:

Refer to the above attachment

I hope it will help you

Answer 2

Let radii of bases of cylinder and cone be

$r_{1} \: and \: r_{2} \: and \: height \: be \: h.$

$\sf \colorbox{gold}{{Given, volumes are equal}}$

$\pi r \frac{2}{1} = \frac{1}{3}\pi r \frac{2}{2} h$

$\frac{r \frac{2}{1} }{r \frac{2}{2} } = \frac{1}{3}$

$\frac{r1}{r2} = \frac{1}{ \sqrt{3} }$

$r1:r2 = 1: \sqrt{3}$

❥ the above is the answer of your question

❥ hope that's helps you