Question

The radii of two right-circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Find the ratio of their volumes.​

Answer 1

Solution:-

Given:-

$radius_{1}:radius_{2} = 2:3$

$height_{1}:height_{2} =5 :3$

To Find:-

• Ratio of their volumes.

Formula:-

$Volume \: of \: a \: right \: circular \: cylinder = \pi \: {r}^{2} h \\ (where \: r \: is \: radius \: and \: h \: is \: height \: of \: the \: circle)$

By the Problem:-

$volume_{1} :volume_{2} = \pi \: {( r_{1}) }^{2} h_{1} : \pi \: {( r_{2}) }^{2} h_{2} \\ = > volume_{1} :volume_{2} = {(2)}^{2} \times 5 : {(3)}^{2} \times 3 \\ = > volume_{1} :volume_{2} = 20 : 27$

Answer:-

20:27

Hey mate this can help you.