A cone has a radius of 15 cm and a volume of 540 cm3. What is the volume of a similar cone with a radius of 10 cm?
A. 54 cm3
B. 240 cm3
C. 160 cm3
D. 360 cm3
1 answer
We know that the ratio of the sides is $10/15=2/3$, so the ratio of the volumes of the two cones is $(2/3)^3=8/27$. If the volume of the large cone is 540, then the volume of the small cone is $(8/27)(540)=\boxed{160}$.