Find the volume of a cylinder of height 6" and base with circumference 16 pi". a.96 pi cubic units b.192 pi cubic units c.384 pi cubic units

Option C is correct

cubic inches

Step-by-step explanation:

Volume of cylinder(V) is given by:

            ......[1]

where,

r is the radius of the cylinder

h is the height of the cylinder respectively.

As per the statement:

Height of the cylinder(h) = 6"

Base with circumference=

Since:

Base with Circumference(B) =

⇒

or

Divide both sides by 2 we have;

⇒

Substitute the given values in [1] we have;

Simplify:

cubic inches

Therefore, the volume of a cylinder is, cubic inches

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

yes they are the same