A container used to hold sugar is in the shape of a cylinder with a diameter of 8 inches and a height of 10 inches. Which measurement is closest to the volume of the storage container in cubic inches?

1 answer

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.

Given that the diameter of the cylinder is 8 inches, the radius (r) is half of the diameter, so r = 4 inches. The height (h) of the cylinder is 10 inches.

Substitute these values into the formula:

V = π(4^2)(10)
V = π(16)(10)
V = 160π

Approximately, the volume of the storage container is 502.65 cubic inches.