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.
To find the height of the cylinder, we need to use the formula for the volume of a cylinder:
V = πr²h,
Where V is the volume, r is the radius, and h is the height.
Given:
V = 384π cubic inches,
r = 8 inches.
Substituting the given values into the formula, we can solve for h:
384π = π(8)²h,
384 = 64h,
h = 384/64,
h = 6 inches.
Therefore, the height of the cylinder is 6 inches.
To find the height of a cylinder with a given volume and radius, you can use the formula for the volume of a cylinder and solve for the height.
The volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the volume of the cylinder is given as 384π cubic inches, and the radius is given as 8 inches. We need to find the height.
Using the formula, we have 384π = π(8^2)h.
Simplifying, we get 384 = 64h.
Dividing both sides by 64, we have h = 384/64 = 6 inches.
Therefore, the height of the cylinder is 6 inches.
Both calculated the volume properly.
well
64πh = 384π