The volume of a right circular cylinder is 7,693 cm3 . Find the height of the cylinder if the diameter is 14 cm. Use 3.14 for pi.(1 point)

Responses

12.5 cm
12.5 cm

39.25 cm
39.25 cm

175 cm
175 cm

50 cm

3 answers

12.5 cm
how did you get 12.5
To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

Given:
V = 7693 cm^3
d = 14 cm
r = 7 cm

We know that the radius (r) is half the diameter, so r = 7 cm.

Now we can plug in the values to solve for the height (h):

7693 = 3.14 * 7^2 * h
7693 = 3.14 * 49 * h
7693 = 154.36 * h
h = 7693 / 154.36
h ≈ 49.825 cm

Therefore, the height of the cylinder is approximately 49.825 cm.