Question

Choose the correct answer:
The ratio of the heights of two cylinders with equal base radius is 2:5. The ratio of their curved surfaces will be:​

Answer 1

Answer:

$3 {.269925 \cot( \beta \sec(52) ) }^{?} \cot( \cot(?) )$

Answer 2

Answer:

2:5

Step-by-step explanation:

Let the height of cylinder 1 = 2x

Therefore the height of cylinder 2 = 5x

CSA of a cylinder  = 2πrh

CSA of Cylinder 1 = 2πr * 2x = 4πrx

CSA of Cylinder 2 = 2πr * 5x = 10πrx

Therefore the ratio = 4πrx / 10πrx = 4 / 10 = 2 / 5 = 2:5