Question

16. If the radius of a sphere is doubled, then what is the ratio of their surface area​

Answer 1

Answer:

4:1

Step-by-step explanation:

Answer

S

1

=4πr

2

S

2

=4π(2r)

2

=16πr

2

S

1

S

2

=

4πr

2

16πr

2

=

1

4

⇒4:1

Answer 2

Answer:

The ratio is 1:4  (or can be 4:1 depending on question)

Step-by-step explanation:

Let radius of original sphere be 'r'

=> doubled radius= 2r

Now, ratio = surface area of original sphere/ surface area of new sphere

= 4πr²/4π(2r)²

= r²/4r²

= 1/4

Hence, ratio old : new= 1:4, and ratio new : old = 4:1

Hope I was able to help!!