SOLUTION: A cylinder and a cone have base radii 5 cm and 3 cm respectively and their respective heights are 4 cm and 8 cm. Find the ratio of their volumes.

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Question 825968: A cylinder and a cone have base radii 5 cm and 3 cm respectively and their respective heights are 4 cm and 8 cm. Find the ratio of their volumes.
Found 2 solutions by sarcasticpie, MathTherapy:
Answer by sarcasticpie(12)   (Show Source): You can put this solution on YOUR website!
Hey :)
The volume of a cylinder is π r^2 h and you said that the radius = 5 cm and height = 4 cm
Using substitution:
Volume = πr^2 h
= 3.14 * 5 * 5 * 4
= 3.14 * 100
= 314 cm3
The volume of a cone is πr^2 h and you said that the radius = 3 cm and height = 8 cm
Using substitution:
Volume = πr^2 h
= * 3.14 * 3 * 3 * 8
= 3.14 * 3 * 8
= 3.14 * 24
= 75.36 cm^3(approx.)
Ratio of cylinder : cone
314 : 75.36
I'd reduce it, but I don't want to take away from the credibility of the answer :) I hope this helps. Went over it quite a few times, but there may be a few mistakes. All the best :) x
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A cylinder and a cone have base radii 5 cm and 3 cm respectively and their respective heights are 4 cm and 8 cm. Find the ratio of their volumes. 


Ratio of volumes of cylinder to cone: , or  : 

You can do the check!! 



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