Question

If the radius of sphere is increased by hundred percent then what percent of volume the resulting sphere is increased

Answer 1

Answer:

If radius r increases by 100% radius

increases by 2r

so vol. of sphere. 4/3πr ^3 becomes

4/3π(2r)^3

= 4/3πx8r^3=8x4/3πr^3=700%

r becomes 8 r, diff:7r

7 rxl00/r=700%