A cylinder has a radius of 4x + 2 and a height of 5x — 4. Which polynomial in standard form
best describes the total volume of the cylinder?
A.80pix^3+144pix^2+84pix+16pi
B.20pix^2+26pix+8pi ****
C.80pix^3+144pix^2+84pix-16pi
D.400pix^4+1040pix^3+996ix^3+416pix+64pi
My answer has the "***"by it. Please check my answer
Thanks
:)
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
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..
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.
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