Question

if radius of a solid sphere is doubled, find % change in it's volume​

Answer 1

Answer:

700%

Step-by-step explanation:

If radius will be r.

Then, The volume of sphere = (4/3)πr*3

And, If we double the radius. i.e, 2r

Then, The volume of sphere = (4/3)π(2r*) 3

i.e, Volume of Sphere= (32/3)πr*3

Change in volume of sphere= (32/3)πr*3-(4/3)πr*3

= (28/3)πr*3

%age change= change in volume/Original Volume *100

=  {(28/3)πr/(4/3)πr^3} *100= 700%