A cylinder has a radius of 5 in. if the volume of the cylinder is
250pi in ^3 what is the height of the cylinder
V=pi r^2 h
250=pi*5^2*h
250=5pi*h
250=5hpi
250/5pi=5hpi/5pi
h=50/pi
h = V/Area = 250 pi/(pi*5^2)= 10
To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the radius of the cylinder is 5 inches and the volume is 250π in^3, we can substitute these values into the formula.
250π = π(5^2)h
Now, we can simplify the equation by canceling out π on both sides.
250 = 5^2h
Simplifying further, we obtain:
250 = 25h
To isolate h, we can divide both sides of the equation by 25.
250/25 = 25h/25
h = 10
Therefore, the height of the cylinder is 10 inches.