Answer: 36 inches
Step-by-step explanation:
Since we know that the volume of the cylinder is 576π and that the radius is 4 inches, we can fill in the given numbers before solving the unknown.
V = π * 4^2 * h
π(pi) is the same as 3.14
4^2 is the same as 4 * 4 which is 16
Volume = 1,808.64 (576π)
First, we will be replacing the variables with the given numbers:
V = π * 4^2 * h --> 1,808.64 = 3.14 * 16 * h
To get the unknown, we first have to make sure it is by itself. To do that, we must divide 1,808.64 by 3.14 which is 576. Now we have 576 = 16 * h, to get to 'h', we must divide one more time, 576 divided by 16 is 36.
We are left with 36 = h. So the final answer is 36.