A cylinder has a radius of 4x + 2 and a height of 5x — 4. Which polynomial in standard form

Volume = Pi r^2 h

= Pi (4x+2)^2 (5x-4)
= Pi (16x^2 +16x + 4)(5x^2 - 4)

without completing the whole expansion, I know it has to start with
80Pi x^3 and end in -16Pi
The only answer that matches that is C

OK SO WHO IS RIGHT..

a

a
a
a
a
c
b
c
a
c
d
a
a
c
d
d
d
a
i know this looks unreliable i am sorry but it is reliable

Don't trust any answers that are just letters especially for tests...

In connexus some of the tests have different questions for everyone so it isn't reliable

Well, a cylinder's volume is given by the formula V = πr^2h, where r is the radius and h is the height. Let's calculate the volume of the cylinder using the given values:

V = π(4x + 2)^2(5x - 4)
= π(16x^2 + 16x + 4)(5x - 4)
= π(80x^3 -64x^2 + 80x - 64)

So, the polynomial that best describes the total volume of the cylinder is 80pix^3 - 64pix^2 + 80pix - 64pi.

Therefore, the correct answer is C, not B. Sorry about that!

Keep up the good work, though!

To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius, and h is the height.

Given that the radius of the cylinder is 4x + 2 and the height is 5x - 4, we can substitute these values into the formula to find the polynomial that represents the volume.

V = π(4x + 2)^2(5x - 4)

Expanding the equation:
V = π(16x^2 + 16x + 4)(5x - 4)

Now, we can multiply the polynomial inside the parentheses by the constant outside the parentheses:
V = π(80x^3 - 64x + 80x^2 - 64)

Simplifying further:
V = 80πx^3 - 64πx + 80πx^2 - 64π

Rearranging the terms in descending order of their exponents:
V = 80πx^3 + 80πx^2 - 64πx - 64π

Comparing this expression with the given answer choices, we see that the polynomial in standard form that best describes the total volume of the cylinder is 80pix^3 + 80pix^2 - 64pix - 64pi, which corresponds to answer choice B.