Question

The radius of one sphere is twice as great as the radius of a second sphere.
a. Find the ratio of their surface areas. b. Find the ratio of their volumes.

Answer 1

lets say,
radius of one sphere : r
radius of second sphere : 2r

surface area = 4 . pi . r^2
ratio of surface area of one sphere to the surface area of second sphere :
\[\frac{4 . \pi . r^{2}}{4 . \pi . (2r)^{2}}\]

Answer 2

can you simplify above ratio ?