Question

If the radius of sphere is doubled then what is the radius of their volume

Answer 1

if the radius is doubled then the volume of sphere increases 8 times

Answer 2

Answer:

If the radius of sphere is doubled, the volume becomes eight times the original.

Step-by-step explanation:

Let the radius of sphere be r.

∴ The volume of sphere = $\frac{4}{3}$ πr³

If radius of sphere is doubled, then radius is 2r.

∴ The volume of new sphere = $\frac{4}{3}$ π (2r)³ = $\frac{4}{3}$ × 8r³  

∴ Then ratio of new and old sphere = $\frac{4}{3}$ × 8r³ / $\frac{4}{3}$ = $\frac{8}{1}$

∴ If the radius of sphere is doubled, the volume becomes eight times the original.

Hope it helps you!!(●'◡'●)