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?

show wok please

Guest Oct 26, 2020

#1**+1 **

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.

!

asinus Oct 26, 2020