prove that surface area of sphere is equal to the curved surface area of circumstances
ritujain83:
I think instead of circumstances it should be circles.
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Surface area of a sphere = 4πr2
Curved Surface area =2πrh
To prove,
S.C.A of sphere = C. S. A os cylinder.
4πr2 =2πrh
4r = 2h
2r = h.
Now, replace h = 2r,i.e
4πr2 = 2πr x 2r
4πr2 = 2π x 2r2
4πr2 = 4πr2
S.C.A of sphere = C.S.A of cylinder
Curved Surface area =2πrh
To prove,
S.C.A of sphere = C. S. A os cylinder.
4πr2 =2πrh
4r = 2h
2r = h.
Now, replace h = 2r,i.e
4πr2 = 2πr x 2r
4πr2 = 2π x 2r2
4πr2 = 4πr2
S.C.A of sphere = C.S.A of cylinder
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