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?

Both cylinder are similar

Volume of a cylinder is πr^2h

if we consider both has same radius as they are similar

Lets say V1 is volume of small cylinder and V2 is volume of big cylinder.

V1/V2=πr^2x5/πr^2xh

125/343=5/h

0.36=5/h

h=5/0.36

h=13.72 ft