Question

. The formula for the volume, V, of a right circular
cylinder in terms of its radius, r, and its height,
h, is V = nr2h. What is the radius, in inches, of a
right circular cylinder that has a volume of 2,028pi
cubic inches and a height of 12 inches?​

Answer 1

Answer:

13 inches

Step-by-step explanation:

Your formula for a right circular cylinder's volume is

$V=\pi r^{2} h$

All you have to do is plug in your variables. Since we know that the volume is 2028pi and the height is 12 inches, we can set up the equation as follows:

$2028\pi =\pi r^{2} 12$

Next, we simplify. First, we have to divide both sides by pi.

$2028=12r^{2}$

Once we've divided both sides by pi, we can divide both sides by 12.

$169=r^2$

Now, to find the radius, we have to find the square root of both sides. This is because the square root of r squared is r.

$13=r$

Your radius is 13 inches.