To find the radius of the cylinder, we need to first calculate the volume of the cylindrical packaging using the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given that the volume of the cereal box is 420 cubic inches, we can set up the equation:
420 = π * r^2 * 4
Solving for r^2:
r^2 = 420 / (4π)
r^2 ≈ 33.46
r ≈ √33.46
r ≈ 5.78 inches
Therefore, the approximate radius of the redesigned cylindrical packaging should be around 5.78 inches in order to hold the same volume of cereal.
A family-size cereal box in the shape of a rectangular prism with dimensions of 14 in x 10 in x 3 in holds 420 cubic inches of cereal. If the packaging is redesigned to be a cylinder with a height of 4 inches, what would be the approximate radius so that it still holds the same volume of cereal?
1 answer
1 answer