A cone has the radius of 15 cm and a volume of 540 cm^3. What is the volume of a similar cone with a radius of 12 cm?

A. 54 cm^3
B. 240 cm^3
C. 160 cm^3
D. 360 cm^3

2 answers

volume is proportional to length dimension cubed for similar objects in three dimensions.

12/15 = 4/5

4^3/5^3 = 64/125

64/125 * 540 = 276.5 cm^3

well, none of your choices look great but I guess 240
well, then you must have done something wrong to get the answer you got then.