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?

show wok please

343 / 125 = (scale factor)^{3}

scale factor = [343 / 125]^{1/3}

height of larger cylinder = 5 * scale factor

height of larger cylinder = 5 * [343 / 125]^{1/3}

height of larger cylinder = 5 * 7 / 5

height of larger cylinder = 7 feet

thanks can you help me with a other one?

To find the linear ratio of both things we can use this :

^{3}√343 / ^{3}√125 = 7 / 5

So.... the height of the larger cylinder is 7/5 ths that of the smaller one...so we have

(7 / 5) * 5 = 7 feet