Answer:
(3V) / (πr^2) = h
Explanation:
We can solve for h using the following steps:
Step 1: Multiply both sides by 3:
(V = 1/3πr^2h) * 3
3V = πr^2h
Step 2: Divide both sides by πr^2 to solve for h:
(3V = πr^2h) / πr^2
(3V) / (πr^2) = h
Optional Step 3: Check the validity of the answer:
If we were to use 4 for r and 5 for h, we'd get a volume of 83.7758041 units cubed:
V = 1/3π(4)^2 * 5
V = 1/3π * 16 * 5
V = 80/3π
V = 83.7758041
Now we can use 3V / πr^2 and see if we get 5 for h to check whether we've correctly solved for h:
(3(83.7758041)) / (π * 4^2) = 5
(251.3274123) / (16π) = 5
5 = 5
Thus, our answer is correct.