The volume of a right circular cylinder is 29,673 inches3 . Find the diameter of the cylinder if the height is 42 cm. Use 3.14 for π .(1 point)
Responses
15 inches
15 inches
30 inches
30 inches
10 inches
10 inches
5 inches
To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * (radius)² * height
Given that the volume is 29,673 inches³, the height is 42 cm, and using 3.14 for π, we can rearrange the formula to solve for the radius:
29,673 = 3.14 * (radius)² * 42
29,673 = 131.88 * (radius)²
(radius)² = 29,673 / 131.88
(radius)² = 225
radius = √225
radius = 15 inches
Since the diameter is twice the radius, the diameter of the cylinder is 2 * 15 = 30 inches.
Therefore, the correct answer is:
30 inches