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

Algebra ->  Percentage-and-ratio-word-problems -> 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      Log On


   



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) About Me  (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
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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