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
