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# Two cylinders are similar

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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 10 ft.

What is the height of the larger cylinder?

Oct 26, 2020

#1
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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 10 ft.

What is the height of the larger cylinder?

Hello Guest!

$$\color{blue}343ft^3:125ft^3=h_{l}^3:10^3ft^3\\ h_{l}^3= \frac{343ft^3\cdot 10^3ft^3}{125ft^3}\\ h_l= \sqrt[3]{\frac{343ft^3\cdot 10^3ft^3}{125ft^3}}\\ h_l=\frac{7ft\cdot10ft}{5ft}$$

$$h_l=14ft$$

The height of the larger cylinder is 14ft.

!

Oct 26, 2020