Question

if radius and height of a cylinder is equal then ratio of its curved surface area to its total surface area is ​

Answer 1

r = h

CSA of cylinder = 2πr.r

TSA of cylinder = 2πr(r+r)

$⇒\sf\frac{2\pi {r}^{2} }{2 \pi {2r}^{2} } \\ \\ ⇒ \sf\frac{2\pi {r}^{2} }{4\pi {r}^{2} } \\ \\ ⇒ \sf\frac{1}{2} \\ \\ \red{ \boxed{\sf\huge1:2}}$

Thus ration of CSA and TSA of the given cylinder

is 1:2

Answer 2

r = h

CSA = 2 π .r

2 πr2/ 2 r 2 r powr 2

so 1 :2 is the answer

CSA cyclender =1:2