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November 12th, 2016, 09:05 PM  #1 
Newbie Joined: Nov 2016 From: australia Posts: 1 Thanks: 0  Maths problem!!
I've been trying to solve this for a while and I can't get it right. Please help. Calculate the ratio of the volumes of two cylinders whose dimensions are in the ratio 5 : 8. Thanks. Last edited by skipjack; November 13th, 2016 at 03:01 AM. 
November 12th, 2016, 09:29 PM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 594 Thanks: 318 
$V = \pi r^2 h$ $\dfrac {V_5}{V_8} = \dfrac{\pi (5r)^2 (5h)}{\pi (8r)^2 (8h)}=\left(\dfrac 5 8 \right)^3=\dfrac{125}{256}$ 
November 13th, 2016, 03:21 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 16,187 Thanks: 1145 
If two solids, each with finite, nonzero volume, are geometrically similar, with a scale ratio of a:b, their volumes are in the ratio a³:b³.

December 20th, 2016, 09:56 PM  #4 
Newbie Joined: Dec 2016 From: United Kingdom Posts: 10 Thanks: 1  Question Maths problem!
Hi, You can use this simple formula: V = hπr^2. I am not an expert. So I Generally find online calculation tools, like MathCalculator, AshBox etc. If you want to find quick answers. 
December 21st, 2016, 08:28 AM  #5 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,210 Thanks: 555 
But what if you want to learn? I would hope that was why most people came here!


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