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 5 inches 5 inches 10 inches 10 inches 30 inches 30 inches 15 inches 15 inches

Answer 1

First, convert the height from centimeters to inches:
42 cm x 1 inch/2.54 cm ≈ 16.54 inches

Next, use the formula for the volume of a cylinder:
V = πr^2h
29,673 = 3.14r^2(16.54)
29,673 = 52.0536r^2
r^2 = 569.216
r ≈ √569.216
r ≈ 23.86 inches

Finally, calculate the diameter of the cylinder:
d = 2r
d = 2(23.86)
d = 47.72 inches

Therefore, the diameter of the cylinder is approximately 47.72 inches.