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.

Click here to see ALL problems on Volume

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!!
Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 � 8 city/state wide exams,
GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,
and the GED, you can visit: http://asvabstudyzone.freeforums.net/.