the volume of a cylinder is 80pi cubic inches; if the radius is 4 in. find the height
vol = πr^2h
80π = π(4^2)h
h = 80π/(16π) = 5
To find the height of a cylinder when given its volume and radius, you can use the formula for the volume of a cylinder:
V = πr^2h
Here, V represents the volume, r represents the radius, and h represents the height. We are given that the volume is 80π cubic inches and the radius is 4 inches. Let's substitute these values into the formula:
80π = π(4^2)(h)
Simplifying:
80π = 16πh
Now, divide both sides of the equation by 16π:
(80π) / (16π) = h
Simplifying, we get:
5 = h
Therefore, the height of the cylinder is 5 inches.