Question

a sphere of radius r is placed in a cylinder such that it touches the top and bottom surface of cylinder then find the ratio between their curved surface areas..

Answer 1

Step-by-step explanation:

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Answer 2

The ratio of the curve surfaces is 1:1

Step-by-step explanation:

Let the radius of the cylinder will be r and height of the cylinder will be 2r.

∴ Curved surface area of the cylinder = 2πrh

=2$\pi$rh

=4$\pi r^{2}$

Curve surface of sphere is = 4$\pi r^{2}$

Therefore ratio of the curve surfaces is $\frac{4\pi r^{2}}{4\pi r^{2}}$ = 1:1

The ratio of the curve surfaces is 1:1