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Examveda

The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is :

A. 1 : 1

B. 1 : 2

C. 2 : 1

D. 2 : 3

Answer: Option A

Solution(By Examveda Team)

Volume and Surface Area mcq solution image
Let the radius of the sphere be r
Then, radius of the cylinder = r
Height of the cylinder = 2r
Surface area of sphere = $$4\pi {{\text{r}}^2}$$
Surface area of the cylinder = $$2\pi {\text{r}}(2r) = 4\pi {{\text{r}}^2}$$
∴ Required ratio :
= $$4\pi {{\text{r}}^2}$$ : $$4\pi {{\text{r}}^2}$$
= 1 : 1

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