A right circular cylinder has a base diameter of 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder?
Correct answer: C. 726π
- A. 132π
- B. 264π
- C. 726π
- D. 2,904π
Explanation
Choice C is correct. The volume, V, of a right circular cylinder is given by the formula V = πr²h, where r is the radius of the base of the cylinder and h is the height of the cylinder. It's given that a right circular cylinder has a height of 6 centimeters. Therefore, h=6. It's also given that the cylinder has a base diameter of 22 centimeters. The radius of a circle is half the diameter of the circle. Since the base of a right circular cylinder is a circle, the radius of the base of the right circular cylinder is 22/2, or 11, centimeters. Therefore, r=11. Substituting 11 for r and 6 for h in the formula V=πr²h yields V = π(11)²(6), which is equivalent to V = (121)(6), or V = 726. Therefore, the volume, in cubic centimeters, of the cylinder is 726π.
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