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.]
Just insert the values into the formula and solve.
V = (pi)r^2h
V = 250 cubic inches (in^3)
pi = 3.1416 (or you could round it to the nearest hundredth)
r = 5 inches (r^2 = r times r)
h = your unknown.
Solve for h.
I hope this helps. Thanks for asking.
To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = π * r^2 * h, where V is the volume, r is the radius, and h is the height.
Given that the radius of the cylinder is 5 in and the volume is 250π in^3, we can substitute these values into the formula:
250π = π * 5^2 * h
Simplifying the equation, we have:
250π = 25π * h
Dividing both sides by 25π:
(250π) / (25π) = h
Simplifying:
10 = h
Therefore, the height of the cylinder is 10 inches.