A cylinder has a radius of 5 in. If the volume of the cylinder is 250 ¦Ðr¡¼in¡½^3, what is the height of the cylinder?
Volume cylinder is AreaBase*height
where area of the base is PI*r^2
Volume=PI*r^2 * h
solve for h.
To find the height of the cylinder, we can use the equation for the volume of a cylinder:
Volume = π * r^2 * h
Given that the radius of the cylinder is 5 inches and the volume is 250 π cubic inches, we can substitute these values into the equation:
250 π = π * (5^2) * h
Simplifying further:
250 π = 25 π * h
Dividing both sides by 25 π:
10 = h
Therefore, the height of the cylinder is 10 inches.