Question

find the ratio reduced to lowest terms of the volume of a sphere with a radius of 6 inches to the volume of a sphere with a radius of 18 inches

Answer 1

do you know formula for volume of a sphere ?

Answer 2

old question but will respond so this can be closed

so technically you *could* plug both of these into the sphere volume equation

V = (4/3)pi*r^3

and divide the smaller sphere volume by the larger sphere volume.

however, there's an easier way to approach this. since the (4/3) and the pi terms will both cancel out when you divide, you can just look at the radii.

volume is directly proportional to the cube of the radius. so you can just divide (smaller radius)/(larger radius), and cube the result to get the volume ratio.