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Mathematics 8 Online
OpenStudy (anonymous):

3. The volume of a cylinder is 980mc003-1.jpg in.3 The height of the cylinder is 20 in. What is the radius of the cylinder? (1 point) 7 in 49 in 327 in 18 in

OpenStudy (anonymous):

whats the area of a circle?

OpenStudy (anonymous):

umm idk thats y i need help on the question....

OpenStudy (anonymous):

okay no problem, ill tell you, its \[\pi r^2\]

OpenStudy (anonymous):

which is great so we have this|dw:1349923324600:dw| we will call the area A, but what we really mean is \[\pi r^2\]

OpenStudy (anonymous):

now lets build some walls, and really get a cylinder going!

OpenStudy (anonymous):

|dw:1349923411845:dw| so w now have this

OpenStudy (anonymous):

what i have labeld L here is Height. what is the height of this cylinder?

OpenStudy (anonymous):

20 inch

OpenStudy (anonymous):

okay great lets put that in|dw:1349923532728:dw| so i have divided the cylinder into lots of circles each is 1 inch thick

OpenStudy (anonymous):

quick recap: whats the area of a circle?

OpenStudy (anonymous):

this is supposed to be a QUICK recap :P

OpenStudy (anonymous):

the area is πr2 lol

OpenStudy (anonymous):

|dw:1349923801784:dw|

OpenStudy (anonymous):

your damn right it is

OpenStudy (anonymous):

so we know the area of 1 of these circles |dw:1349923875596:dw| infact we know the area of every circle since they all have the same width, 1.

OpenStudy (anonymous):

how many circles do we have stacked to make this cylinder?

OpenStudy (anonymous):

5

OpenStudy (anonymous):

sorry stupid website was being wierd

OpenStudy (anonymous):

well, look at the side of the diagram, we know the area = pi r^2 when L = 1 ? yeah?

OpenStudy (anonymous):

but in this example the height isnt 1, its 20! its 20 times 1.

OpenStudy (anonymous):

so we need 20 circles stacked ontop of each other all with width 1, do you get that?

OpenStudy (anonymous):

grr its sending my messages in random orders :(

OpenStudy (anonymous):

do you follow so far?

OpenStudy (anonymous):

well i wont be here when you get back, heres what you do. area = pi r^2, height = 20. Volume = area x height = pi r^2 times 20. you want to know the radius! so solve that equation for radius, solve: \[V = \pi r^2 L\] for r

OpenStudy (anonymous):

then just put in your values for height = l and volume = v and you got the radius!

OpenStudy (anonymous):

Idk what was happening I couldnt see the messages!!! well thankyou for ur help!!!! :)

OpenStudy (anonymous):

yeah it decided to lag like crazy. did you solve it? and do you understand it!

OpenStudy (anonymous):

its confusing but i get it, is the answer 7?

OpenStudy (anonymous):

980mc003-1.jpg in.3 what does this mean in your question?

OpenStudy (anonymous):

it stands for 980 πr inch 3

OpenStudy (anonymous):

yeah 7 is good for me. Awesome. Give a girl the answer, she will solve the question, derive a girl the formula, and she can solve all the questions!

OpenStudy (anonymous):

thankyou very much! :D

OpenStudy (anonymous):

:) your welcome

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