Question

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

Answer 1

If the radius of a sphere is doubled , then the increase in surface area is 300%

Explanation:

let r is the radius of a sphere

then its surface area =

If the radius is doubled

then its surface area =

So its surface area becomes 4-fold

or we can say that

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.

To know more about surface area , visit:

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Answer 2

Explanation:

ANSWER

Let the original radius be r

so the original volume =

3

4

πr

3

New radius = 2r

so, new volume =

3

4

π(2r)

3

=

3

4

π(8r

3

)

Ratio =

3

4

π(8r

3

)

3

4

πr

3

=

8

1

so ratio = 1:8