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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ​​ft³. The height of the smaller cylinder is 5 ft.

What is the height of the larger cylinder? 

show wok please

Guest Jan 30, 2018
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3+0 Answers

 #1
avatar+6250 
+3

343 /   125   =   (scale factor)3

 

scale factor   =   [343 / 125]1/3

 

height of larger cylinder   =   5 * scale factor

 

height of larger cylinder   =   5 * [343 / 125]1/3

 

height of larger cylinder   =   5 * 7 / 5

 

height of larger cylinder   =   7      feet

hectictar  Jan 30, 2018
 #3
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+1

thanks can you help me with a other one?

Guest Jan 30, 2018
 #2
avatar+82489 
+2

 

To find the linear ratio  of both things we can use this :

 

3√343  /  3√125     =     7 / 5

 

So.... the height of the larger cylinder is  7/5 ths  that of the smaller one...so we have

 

(7 / 5)  *  5   =     7 feet

 

 

cool cool cool

CPhill  Jan 30, 2018

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