Question

a cylinder and 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

Answer:

3:1

OK

understand 1/3πr^h=πr^h

Answer 2

Answer:

Ratio of the curved surface area of the cylinder and cone is $\frac{2h}{\sqrt{r^{2}+h^{2}}}$

Step-by-step explanation:

Curved surface area of the cylinder is represented by

$S_{cy}=2\pi rh$

Where h = height of the cylinder

and r = radius of the cylinder

Similarly surface area of a cone with same base radius and height is represented by

$S_{co}=\pi r\sqrt{r^{2}+h^{2}}$

Now ratio of the curved surface area of the cylinder and cone = $\frac{S_{cy} }{S_{co} }$

= $\frac{2\pi rh}{\pi r\sqrt{h^{2}+r^{2})}}$

= $\frac{2h}{\sqrt{r^{2}+h^{2}}}$

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