To find the radius of the cylinder, we first need to calculate the volume of the cylinder.
The volume of a cylinder is given by the formula: V = πr^2h, where r is the radius and h is the height.
We know that the volume of the original rectangular prism is 390 cubic inches.
390 = 13 x 10 x 3
390 = 390
Therefore, the volume of the redesigned cylinder must also be 390 cubic inches.
Using the formula for the volume of a cylinder, we can plug in the given values:
390 = πr^2 x 5
78 = πr^2
r^2 = 78/π
r ≈ √(78/π)
r ≈√(24.77)
r ≈ 5
Therefore, the approximate radius of the redesigned cylinder should be about 5 inches in order to hold the same volume of cereal.
6. A family-size cereal box in the shape of a rectangular prism with dimensions of 13 in x 10 in x 3 in holds 390 cubic inches of cereal. If the packaging is redesigned to be a cylinder with a height of 5 inches, what would be the approximate radius so that it still holds the same volume of cereal?(2 points) Responses 6 in 6 in 5 in 5 in 7 in 7 in 4 in
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