A cylinder has a radius of 5 in. If the volme of the cylinder is 250p in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = pr2h.]

solve V= PI*r^2 *h for h

Then put in the numbers.

thanks

To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = πr²h. In this case, we are given that the volume of the cylinder is 250π in³.

We are also given that the radius of the cylinder is 5 in.
Substituting the given values into the formula:
250π = π(5²)h
Simplifying:
250π = 25πh
Now we can solve for h by dividing both sides of the equation by 25π:
h = (250π)/(25π)
Simplifying further:
h = 10

Therefore, the height of the cylinder is 10 inches.