Question

A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.

Answer 1

Explanation:

Volume of cylinder = pi r^2 h

Volume of square container = s x s x h

they need to be equal

pi r^2 h = s^2 h

pi (2)^2 * 10 = 4^2 h (diameter = 4 then radius = 2)

40pi / 16 = h = 7.9 in = ~ 8 in to the nearest 1/4 inch