Question

if diameter of shpere is doubled then how much increase in surface area will be there​

Answer 1

Answer:

If the radius of a sphere is doubled, the surface area becomes four times the original surface area.

Answer 2

Answer:

Let S

1

be the original surface area of the sphere and S

2

be the surface area with double the diameter.

Doubling the diameter means doubling the radius. Let r

1

and r

2

corresponding radii.

We know that S=4πr

2

and r

2

=2r

1

....Given

Hence,

S

2

S

1

=

4πr

2

2

4πr

1

2

⇒

S

2

S

1

=

(2r

1

)

2

r

1

2

⇒S

2

=4S

1

So, doubling radius will increase S by a factor of 4.