The volume of a right circular cylinder is 27,355.68 mm3 . Find the height of the cylinder if the radius is 22 mm. Use 3.14 for π .(1 point)

Question

mm

Answer 1

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

Given that the volume (V) is 27,355.68 mm^3 and the radius (r) is 22 mm, we can plug these values into the formula and solve for the height (h):

27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1519.76h
h = 27,355.68 / 1519.76
h = 18 mm

Therefore, the height of the cylinder is 18 mm.

Answer 2

are you sure

Answer 3

Let's double check the calculation:

Given:
- Volume (V) = 27,355.68 mm^3
- Radius (r) = 22 mm
- π = 3.14

Volume of a cylinder formula: V = πr^2h

Substitute the values:
27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1519.76h

Solve for h:
h = 27,355.68 / 1519.76
h ≈ 18 mm

Therefore, the height of the cylinder is approximately 18 mm.