Answer:
6158cm^3
Step-by-step explanation:
Recall the volume formula for a cylinder: [tex]V=\pi r^2h[/tex]
(think of it as a stack of the cylinder's base circle)
With the formula in mind,
h = 10
r = ???
Recall that the diameter of a circle is twice the radius or D = 2r.
Since the diameter is given, just dividing it by 2 (to isolate the r on the right hand side) will give the radius value!
28 = 2r
28 / 2 = r
14 = r
Now, just plug in the variables!
[tex]V= \pi (14)^2(10)=6157.52=6158cm^3[/tex]
