HELP PLEASE!!!
1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the volume of a similar cone with a radius of 16 cm.

A: 120 cm^3
B: 300 cm^3
C: 75 cm^3
D: 750^3

Question

HELP PLEASE!!!
1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the volume of a similar cone with a radius of 16 cm.

A: 120 cm^3
B: 300 cm^3
C: 75 cm^3
D: 750^3

anonymous · Answer

d

anonymous · Answer

The answer was A, but thank you for helping. :)

mertsj · Answer

Do you know why the answer is A?

anonymous · Answer

I am not sure yet, but I am going to figure it out.

mertsj · Answer

Here is what this problem is trying to teach you:  The ratio of the volumes is equal to the CUBE of the ratio of the dimensions.

mertsj · Answer

The ratio of the dimensions is 40:16 or 5:2

mertsj · Answer

When you cube that you get 125:8

mertsj · Answer

So you should write this proportion:
$$\frac{125}{8}=\frac{1875}{x}$$

anonymous · Answer

OK I get it now. Thank you. :)

mertsj · Answer

yw