a ball has a volume of 45. the radius of the larger ball is 3 times the small ball what is the volume?

Answer 1

Assume the smaller ball has a volume of 45.

Since volume is proportional to r^3, and R = 3r, the larger V is 3^3 as big as the smaller v, or 27*45 = 1215.

for the details, see below

for the smaller ball, v = kr^3 with k=4pi/3

The larger ball with radius R=3r has volume

V = kR^3 = k(3r)^3 = 27kr^3 = 27v = 27*45 = 1215