Question

if two cubes have a ratio of 5:3, what is the ratio of their respective volumes? and if two cones have heights in the ratio d:c, what is the ratio of their respective volumes?

Answer 1

SOLUTION:

(a) We want to find the ratio of the volumes of the cubes,

5 x 5 x 5 = 125

3 x 3 x 3 = 27

125 : 27

(b) Since the two cones are similar, the ratio of the heights will be the same as the ratio of the radii, which means that the ratio of the volume will be;

$d^{3\text{ }}\colon c^3$