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
5 inches
5 inches
10 inches
10 inches
30 inches
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the volume is 29,673 inches^3 and the height is 42 cm, we need to convert the height to inches:
42 cm = 16.535 inches
Now we can rearrange the formula to solve for the radius:
29,673 = πr^2 * 16.535
r^2 = 29,673 / (π * 16.535)
r^2 = 56
r = √56 = 7.483 inches
Since the diameter is twice the radius, the diameter is:
2 * 7.483 = 14.966 inches, which is closest to 15 inches.
Therefore, the correct answer is:
15 inches