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 5 inches 5 inches 15 inches 15 inches 10 inches
First, we need to convert the height from cm to inches:
42 cm x 0.3937 inches/cm = 16.5354 inches
Now, we can use the formula for the volume of a cylinder:
V = πr^2h
29,673 = 3.14 r^2 (16.5354)
29,673 = 52.0217 r^2
r^2 = 569.1385
r ≈ 23.86 inches
Finally, we can find the diameter by doubling the radius:
Diameter = 2r
Diameter ≈ 2(23.86)
Diameter ≈ 47.72 inches
So, the diameter of the cylinder is approximately 47.72 inches.