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Step : 1
We have solid sphere whose radius from it's center is 7 unit. Then we cut very small circular area on the surface of sphere.
Each outer point of this small circular area meet at the center of the sphere and formed a cone. Whose slant hight and radius from it's center is almost same because circular area is very small just like a point circle.
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Step : 2
This base area of formed cone is A1 and it's volume is equal to volume of cone = 1/3(base area x height)
= 1/3(A1 x R)
And like this we cut many more cones and sum of volume of all these cones is equal to volume of sphere.
The base area of these cone are A1 , A2 , A3 ......., An
Total surface area of sphere =(A1 + A2 + A3 +....... + An) = A(LET)
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Step : 3
Sum of volume of all the cones = volume of sphere
1/3 x A1 R +1/3 x A2 R +.........+ 1/3 x An = 4/3 x (22/7)R3
1/3 x R(A1 + A2 + A3 +.......+ An) = 4/3(22/7)R3
1/3 x R x (A) = 4/3 x (22/7)R3
A = 4/3 x (22/7)R3 x 3/R
A = 4(22/7)R2
So surface area of sphere = 4(22/7)72 = 616 unit area.
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