Question

show that the surface area of a sphere is same as the lateral surface of right circular cylinder that just encloses sphere

Answer 1

Answer:

Step-by-step explanation:

let radius of sphere be R

so area of sphere =4pieRsq.

sphere is enclosed in cylinder so radius of cylinder is also R

and height is the diameter of sphere so height is 2R

area of cylinder Is 2pieRH

=2pieR*2R

=4pieRsq.

so area of sphere=area of cylinder

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