Question

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?

Please show the work

Answer 1

x = height of larger cylinder

The ratio of the heights can be cubed to get the ratio of the volumes

(x/5)^3 = 343/125

(x^3)/(5^3) = 343/125

(x^3)/125 = 343/125

x^3 = 343

x = (343)^(1/3)

x = 7

The height of the larger cylinder is 7 feet