Question

The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved out of the cylinder. If the volume of the remaining portion of the cylinder is 214π cubic inches, which statements about the cylinder’s radius, x, are true?
The equation x3 + 12x2 − 24x − 305 = 0 can be used to find the cylinder’s radius.
The equation x3 + 12x2 − 24x − 336 = 0 can be used to find the cylinder’s radius.
The radius of the cylinder is 7 inches.
The radius of the cylinder is 6 inches.
The radius of the cylinder is 5 inches.
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Answer 1

Graphing it out yields the radius of the cylinder is 5 inches.