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
+14995 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.
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