Question

The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder. if the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Expalin or show your reasoing

Answer 1

The answer is below

Explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.