Question

The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes.

Answer 1

Given the ratio of radii of two sphere is $2:3$

Let the radius of two-sphere is $2r$ and $3r$

Then the ratio of the surface area of two spheres =$4\pi (2r{)}^2:4\pi (3r{)}^2$

$\Rightarrow 4:9$

Then ratio of volume of two spheres=$\frac{4}{3}\pi (2r{)}^3:\frac{4}{3}\pi (3r{)}^3$

$\Rightarrow 8:27$