Answer :

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]

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