Respuesta :
v = PI x r^2 X H
v = 3.14 x 6^2 x 13
v= 3.14 x 36 x 13 = 1469.52 cubic units
answer may vary slightly depending on value of PI used.
Answer: 468π units³
Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder.
[tex]Volume = \pi r^{2} h[/tex]
In this problem, we are given the radius of the cylinder which is 6 units and the height is 13 units so we can plug these numbers into our formula.
[tex]Volume = (\pi) (6 units)^{2} (13)[/tex]
Now, let's simplify the exponent. Remember that 6 units² is the same thing as 6 units × 6 units or 36 units². Now, let's plug 36 into our formula.
[tex]Volume = (\pi) (36 units^{2}) (13 units)[/tex]
Now, 36 units² × 13 units is 468 units³.
Therefore, the volume of the cylinder is 468π units³.