Question

James has two porcelain spheres. The radii of the spheres are in a ratio of 2 : 5.

What is the ratio between the volumes of the two spheres?

Answer 1

lets say the radius of the smaller sphere is 2 and the radius of the larger sphere is 5.

the forumla for the volume of sa sphere is
\[4/3(\pi*r^2)\]

to find a ratio you can set up a fracgtion

\[(4/3*\pi*2^3)/(4/3*\pi*5^3)\]
\[2^3/5^3\]
\[8/125\]

Answer 2

Good explanation! thanks!