If the height of a cylinder is 12 cm and the volume is 1846.32 cm^3. What is the radius?

Question

If the height of a cylinder is 12 cm and the volume is 1846.32 cm^3. What is the radius?

Answer 1

Volume of a cylinder = pi(r^2)*h

Therefore, 1846.32 = pi(r^2)*12

Dividing both sides by 12pi gives us 48.98=r^2

Taking the square root of both sides gives us r = 6.999

Therefore the radius is equal to 6.999

Answer 2

Using the formula V = πr²h, you can substitute the given values for the corresponding variable. In this case, you would plug in 12cm for the height and 1846.32 for the volume, giving you 1846.32 = πr²(12). At this point, your goal is to isolate r (radius) to find the answer. First, you would divide both sides by 12 to cancel it out, giving you 153.86 = πr². Then, you would divide both sides by π to cancel that out, giving you 48.97516 = r². Lastly, you would take the square root of both sides in order to get r by itself, giving you r ≈ 6.99823, which is your answer.

In order to check your work, you can plug r back into the equation with h to see if it gives you the given volume. In this case, the formula would be π(6.99823)²(12), which gives you about 1846.23, the same number given in the prompt. Therefore, we know our answer is correct.