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 30 inches 30 inches 15 inches 15 inches 10 inches 10 inches 5 inches
First, convert the height from centimeters to inches:
42 cm = 42/2.54 ≈ 16.54 inches
Then, we can use the formula for the volume of a cylinder:
V = πr^2h
29,673 = 3.14 * (r^2) * 16.54
Solve for r^2:
r^2 = 29,673 / (3.14 * 16.54)
r ≈ 30 inches
Finally, find the diameter by doubling the radius:
Diameter = 2 * r
Diameter ≈ 2 * 30
Diameter ≈ 60 inches
Therefore, the diameter of the cylinder is 30 inches.