Hello I was wondering if you can help me with a question, I cant seem to figure it out.

Question

Q: A cone has a radius of 24 cm and a volume of 1,920 cm. What is the volume of a similar cone with a radius of 18 cm?

A: 480 cm
B: 810 cm
C: 1,080 cm
D: 1,440 cm

Thanks!

Ms. Sue · Answer

V = pi * r^2 * h/3 The height of the first cone is 3.1847

Sebby-Chan · Answer

Okay thank you. I have another question, can you help? Im not very good at this math.

Ms. Sue · Answer

Please post your other question as a New Question. I'll help you if I can.

Steve · Answer

since the new radius is 3/4 the old one, the new volume is (3/4)^3 the old volume (3/4)^3 * 1920 = 27/64 * 1920 = 810