+0

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

0
207
3

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?

Guest Jan 30, 2018
Sort:

#1
+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
+1

thanks can you help me with a other one?

Guest Jan 30, 2018
#2
+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

CPhill  Jan 30, 2018

### 13 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details