Cindy has a cylindrical container in her kitchen with the measurements shown at the right. If 3/4 of the space inside the container is filled with sugar, how many cubic inches of sugar are in the container?



452.39 in.3

803.84 in.3

602.88 in.3

200.96 in.3

1 answer

The total volume of the cylinder can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

Given:
Radius (r) = 3 inches
Height (h) = 8 inches

V = π(3)²(8)
V = π(9)(8)
V = 72π in.³

Now, if 3/4 of the space inside the container is filled with sugar, we need to find 3/4 of the total volume, which is:
(3/4)(72π) = 54π in.³

Approximately:
54π ≈ 169.65 in.³

So, there are approximately 169.65 cubic inches of sugar in the container.

Therefore, none of the given options are correct.