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Need this asap please..... Super important!

 

The ratio of the heights of two similar right cylinders is 3:4. Find the ratio of their surface areas and the ratio of their volumes.

 Aug 3, 2015

Best Answer 

 #3
avatar+128406 
+5

9:12 is the same ratio as 3:4  but not the same as 9:16

 

  

 Aug 3, 2015
 #1
avatar+128406 
+5

I'm assuming that by "similar" you mean that the radiuses are in the same ratio, as well...3:4

 

So....the ratio of the volumes is just (3/4)^3 = [pi *3^3 *3] [pi * 4^2 *4] = 27/64

 

And the ratio of the surface areas = 2 pi [ (3)^2 + 3* 3] /2 pi [(4)^2 +4*4] =

 

[18 ] / [ 32] = 9/16

 

 

  

 Aug 3, 2015
 #2
avatar+109 
0

would 9/12 be the same in ratio form? (9:16)

 Aug 3, 2015
 #3
avatar+128406 
+5
Best Answer

9:12 is the same ratio as 3:4  but not the same as 9:16

 

  

CPhill Aug 3, 2015

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