SOLUTION: I have finals coming up in 2 days and I came across this problem: a) 2 similar cones have a diameter of 10 and 15. Work out the ratio of their heights in the form a:b, where a an

Question 1019601: I have finals coming up in 2 days and I came across this problem:
a) 2 similar cones have a diameter of 10 and 15. Work out the ratio of their heights in the form a:b, where a and b are both integers. Simplify your answer.
b) Write down the ratio of the volume of the cones in the form p:q, where p and q are both integers.
Is question a) simply 2:3 or is it not that easy?
I'd really appreciate your help. Thanks in advance.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a) 2 similar cones have a diameter of 10 and 15. Work out the ratio of their heights in the form a:b, where a and b are both integers. Simplify your answer.
10:15 = 2:3
-----------
b) Write down the ratio of the volume of the cones in the form p:q, where p and q are both integers.
Volume is a function of r^2 and h
--> 3rd power
---> 8:27

RELATED QUESTIONS
I am working on graphing circles in algebra. I have tried several ways to work this... (answered by mananth)

Thx to Alan3354 & to Ikleyn for the problem a few days ago. --- I have a similar... (answered by Alan3354)

I was sick for a few days and got my school work to do at home and I came across this... (answered by rapaljer)

{{{4x-2(x-4)=8 over 3}}} I tried doing this fraction problem but it is suppose to come... (answered by fractalier)

Hi, can you please help me with this problem?? I am SO CONFUSED, please help!! We have... (answered by stanbon)

A parabolic satellite television antenna has a diameter of 6 feet and is 1.6 feet deep.... (answered by stanbon)

Hi, I came across this problem in an old newspaper and believe I have solved it but am (answered by Boreal,Alan3354)

Hello, I am working a test review sheet for a test coming up but I have a problem that I... (answered by ankor@dixie-net.com)

If 8 men, 6 women, and 12 boys do a job in 24 days of 9 hours, in how many days of 8 hrs (answered by josmiceli)