Question

If the radius of a sphere is doubled, find the ratio of volume of the new

sphere to that of the original sphere​

Answer 1

Answer:

8:1

Step-by-step explanation:

Let the radius of the original sphere be x

New radius = 2x

Volume of a sphere = 4/3 $\pi$ (radius^3)

Volume of original sphere = 4/3 $\pi$ x^3

Volume of new sphere = 4/3 $\pi$ (2x)^3 = 4/3 $\pi$ * 8 x^3

Ratio of volume of new sphere to original sphere = Volume of new sphere/ Volume of original sphere

= 4/3 $\pi$ * 8 x^3 / 4/3 $\pi$ x^3 = 8/1 = 8:1