Final answer:
To solve for the height of the cylinder using the volume formula, divide the given volume by the product of pi and the square of the radius, resulting in h = 12/(πr^2). The correct answer is A. h = 12/πr^2.
Step-by-step explanation:
To solve the equation v = πr^2h for h, you start by isolating h on one side of the equation. We are given that the volume v is equal to 12, so we can plug that value into the equation:
12 = πr^2h
To solve for h, divide both sides of the equation by πr^2:
h = 12/πr^2
Therefore, the correct answer is A. h = 12/πr^2.