2 hexagonal prisms have volumes of 250 cubic feet and 2 cubic feet.
what is the ratio of the large cylinder to the height of the small cylinder?
If they have the same base area, then the volumes are in the ratio of the heights, cubed.
That is
250/2 = (H/h)^3
To find the ratio of the large cylinder's volume to the height of the small cylinder, we first need to determine the volumes of the cylinders. However, you mentioned that there are hexagonal prisms and not cylinders.
To find the volumes of the hexagonal prisms, we first need to calculate the area of the hexagonal base and then multiply it by the height. The formula for the volume of a hexagonal prism is V = B × h, where B is the area of the base and h is the height.
Let's start by finding the areas of the hexagonal bases:
The volume of the large hexagonal prism is given as 250 cubic feet. To find the area of its base, we need to divide the volume by the height. Without knowing the height of the large prism, we cannot find the ratio yet.
The volume of the small hexagonal prism is given as 2 cubic feet. Similarly, we need the height of the small prism to calculate its ratio.
If you have the heights of the large and small hexagonal prisms, please provide them so that we can continue with the calculations and find the ratio you're looking for.