Question

By how many times does the surface area of a sphere differ if its radius is doubled?


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Answer 1

The surface area of the sphere will increase 4 times if the radius of that sphere is doubled.

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Answer 2

Surface Area of sphere = 4πr²

If radius is doubled

radius = 2r

Surface area = 4π(2r)²

= 4π×4r²

= 16πr²

Times the new surface area differed from the old one = 16πr²/4πr²

= 4 times

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