Question

of the radius of a hemisphere is doubled then what is the ratio of their surface area
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Answer 1

Answer:

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.

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Answer 2

Step-by-step explanation:

surface area of sphere1: surface area of sphere2

4 * pi * radius^2 : 4 * pi * (2 *radius)^2

Cancelling similar terms on both formulas gives

1 * radius^2 : (2 *radius)^2

1 * radius^2 : 4 * radius^2

Cancelling similar terms in the ratio

1 : 4

The ratio of the surface areas of the first sphere to the second sphere is 1 : 4.