Question

if the radius of sphere is doubled then what is the ratio of their surface area

Answer 1

Step-by-step explanation:

If the radius of a sphere is doubled , then the increase in surface area is 300% The increase in surface area is 300% when the radius of a sphere is doubled. Therefore it is concluded that if the radius of a sphere is doubled then the ratio of their surface area is 4 times the old area

Answer 2

Answer:

Your answer is 1 : 4

Step-by-step explanation:

Surface area = 4πr²

if,

R = 2r         (radius doubled)

Then the surface area = 4π(2r)²

                  = 4π4(r)²

                  = 16πr²

Their ratio = 4πr²/16πr²

                 = 4 / 16   (πr² cancelled)

                 = 1 / 4

The ratio of the normal surface area with the radius doubled surface area is 1 : 4

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