Question

3. A cylinder and a cone are of the same base radius and of the same height. Find the ratio of the curved surface area of the cylinder to that of cone.​

Answer 1

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Answer 2

Answer:

$\frac{CSA_{cylinder}}{CSA_{cone}} = \frac{2h}{l}\\\\\frac{CSA_{cylinder}}{CSA_{cone}} = \frac{2h}{ \sqrt{ {h}^{2} + {r}^{2} } } \\ \:$

Step-by-step explanation:

To find the ratio of the curved surface area of the cylinder to that of cone.

Given that: Radius of cone= Radius of cylinder = r

Height of cone= height of cylinder = h

CSA of Cylinder= 2πrh

CSA of Cone =πrl

$\frac{CSA_{cylinder}}{CSA_{cone}} = \frac{2\pi \: rh}{\pi \: r \: l} \\ \\ \frac{CSA_{cylinder}}{CSA_{cone}} = \frac{2h}{l} \\ \\ \frac{CSA_{cylinder}}{CSA_{cone}}= \frac{2h}{ \sqrt{ {h}^{2} + {r}^{2} } }$

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