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
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.