What is the height of a cylinder with a volume of 384π cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch.
V = hπr^2
h = V/πr^2
Insert values and solve for h.
To find the height of a 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.
In this case, we are given the volume (384π cubic inches) and the radius (8 inches). We need to solve for the height (h).
Let's plug in the given values into the formula:
384π = π(8^2)h
Simplifying the equation:
384π = 64πh
Now we can divide both sides of the equation by 64π to solve for h:
h = 384π / 64π
h = 6
Therefore, the height of the cylinder is 6 inches.