Question

If the radius of the sphere is increased by 100% the volume of the corresponding sphere is increased by
1. 200%
2. 500%
3. 700%
4. 800%​

Answer 1

Step-by-step explanation:

Radius=r

New Radius,R=2r

New Volume=(4πR^3)/3=(4π(2r)^3)/3

=(32πr^3)/3

Volume increased=((32πr^3)/3)/((4πr^3)/3)

=8 times

=800%

SURFACE AREA=4πR^2=4π(2r)^2=16πr^2

Increase percent=16πr^2/4πr^2=4 times

=400%

Hope it helped you& any problem i may help you