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Mathematics 21 Online
OpenStudy (anonymous):

This problem is not as long and difficult as it seems. I just need someone to help clarify.

OpenStudy (anonymous):

Measure and record the diameter and height of the cylindrical object you have chosen. Be sure to use the same measurement for both (either centimeters or inches). Diameter 3” Height 3 ½ “ Apply the formula of a right circular cylinder (V = pir2h) to find the volume of the object. (Note: Be sure to find the radius from the diameter measurement by dividing by 2.) 32.97=pi*1.5*2*3.5 Now suppose you knew the volume of this object and the relation of the height to the radius, but did not know the radius. Rewriting the equation with one variable would result in a polynomial equation that you could solve to find the radius. Rewrite the formula using the variable x for the radius. Substitute the value of the volume found in step 2 for V and express the height of the object in terms of x plus or minus a constant. For example, if the height measurement is 4 inches longer than the radius, then the expression for the height will be (x + 4). Simplify the equation and write it in standard form. If the equation contains decimals, multiply each term by a constant that will make all coefficients integers.

OpenStudy (anonymous):

I just need to know what to do with the pi in the polynomial equation :/

OpenStudy (amistre64):

pi*1.5*2*3.5, that 1.5 is squared, not multiplied by 2

OpenStudy (anonymous):

oh crap yes thank you. The class doesnt copy and paste clearly. that'll help a bit

OpenStudy (amistre64):

and pi is just a number, approximate it or even it out in the end

OpenStudy (amistre64):

now, the question is asking you to write the equation in 1 term, x, instead of r and h for some sadistic reason

OpenStudy (anonymous):

yeah. believe it or not, this is meant to be a fun activity

OpenStudy (anonymous):

the thing im struggling with most is the multiplication to make integers. what in gods name am i going to multiply by to make pi an integer?

OpenStudy (amistre64):

you cant make pi an integer, you have to rnd at the end

OpenStudy (anonymous):

? im sorry i dont quite understand

OpenStudy (anonymous):

oh round!

OpenStudy (anonymous):

so just make it 3?

OpenStudy (amistre64):

lets see the equation for your polynomial, then work from that

OpenStudy (amistre64):

Simplify the equation and write it in standard form. If the equation contains decimals, multiply each term by a constant that will make all coefficients integers. .... this instruction is terrible and you should slap someone for it when you get the most opportune chance :)

OpenStudy (anonymous):

-x^2(x+2)-pi-33=0 does this look correct?

OpenStudy (anonymous):

+pi* yes?

OpenStudy (amistre64):

lets see what i come up with let x = the radius pi*x^2*h but h in terms of the radius is: |dw:1404400192604:dw|

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