Final answer:
The formula for the volume of a cone is V = (1/3)πr^2h. To solve for h, multiply both sides by 3 and then divide by πr^2, yielding the solution A. h = 3V / (πr^2). Option A is correct answer.
Step-by-step explanation:
The student is asking whether the formula for the volume of a cone is solved for the variable h. The original formula given is V = (1/3)πr^2h, where V is the volume of the cone, r is the radius, and h is the height. To solve for h, we need to rearrange the formula to isolate h on one side.
To solve for h, we perform the following steps:
Multiply both sides by 3 to get rid of the fraction: 3V = πr^2h
Divide both sides by πr^2 to isolate h: h = 3V / (πr^2)
Therefore, the correct answer is A. h = 3V / (πr^2).