Question

Area of sphere= 4time area of

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Solution

It was found by Archimedes, that if the radius of cylinder and sphere is "r", the surface area sphere is equal to the lateral surface area of cylinder. Hence, the relation between the surface area of a sphere and lateral surface area of a cylinder is given as:

Surface Area of Sphere is equal to Lateral Surface Area of Cylinder

The surface area of Sphere is 2πrh

In this case, height of cylinder is equal to diameter of sphere that is 2r

Hence, surface area of sphere is 2πrh

$= 2\pi \times r(2r)$

$= 4\pi \times {r}^{2}$

hence

$area \: of \: sphere = 4 \: times \: area \: of \: circle$