Question

A cylinder has a radius of 2x + 3 and a height of 6x + 1. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula volume= pi Radius squared times height for the volume of a cylinder.

Answer 1

I give medals

Answer 2

pi * r^2 * h

3.14 * (2x + 3)^2 * 6x + 1

Answer 3

let's multiply (2x + 3)^2 * (6x + 1) first.

Answer 4

ok

Answer 5

Well let's find out what (2x + 3)^2 is.

(2x + 3)(2x + 3)

Answer 6

(2x + 3)(2x + 3)
4x^2 + 6x + 6x + 9
4x^2 + 12x + 9

Answer 7

gotcha

Answer 8

Now we know that (2x + 3)^2 = 4x^2+ 12x + 9

Answer 9

i gtg, thanks

Answer 10

Okay, bye..

Answer 11

can you finish for me to see when i get back?

Answer 12

Yes, definitely.

Answer 13

I will fan you then

Answer 14

Now we can do (4x^2 + 12x + 9)(6x + 1)
24x^3 + 4x^2 + 72x^2 + 12x + 54x + 9
24x^3 + 76x^2 + 66x + 9

Answer 15

So now we have to do:
(3.14)(24x^3 + 76x^2 + 66x + 9)
75.36x^3 + 238.64x^2 + 207.24x + 28.26

So the total volume of the cylinder is approximately: 75.36x^3 + 238.64x^2 + 207.24x + 28.26