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Mathematics 8 Online
OpenStudy (winsteria):

Is some willing to help me with a few questions? please tell me before I post them

OpenStudy (winsteria):

Nnesha (nnesha):

what's the formula for volume of a cone ?

OpenStudy (winsteria):

V=πr2h/3

Nnesha (nnesha):

that's correct use the given information volume is 108pi so replace` v` with 108pi the height `h` is 4 replace h with 4

OpenStudy (winsteria):

108=πr24/3

Nnesha (nnesha):

don't forget the pi \[\large\rm 108 \pi = \frac{4}{3}\pi r^2\] solve for r

OpenStudy (winsteria):

1.3?

Nnesha (nnesha):

how did you get that ?

OpenStudy (winsteria):

4/3?

Nnesha (nnesha):

\[\large\rm 108 \pi = \frac{4}{3}\pi r^2\] what would be the first step to get rid of everytying except r^2 from right side ?

OpenStudy (winsteria):

Idk but I think that it's 34.7

Nnesha (nnesha):

how would you cancel out 4/3 from right side ??

OpenStudy (winsteria):

do the same thing to the other side? I don't know tbh

Nnesha (nnesha):

welll 4/3 times pi times r^2 so you should do opposite of multiplication to cancel out 4/3 and pi from right side for example \[v=7 \cdot x\] 7 times x i will divide both sides by 7 to solve for x

OpenStudy (winsteria):

oh okay

OpenStudy (winsteria):

I did it and got the first answer !

Nnesha (nnesha):

show me your work.

Nnesha (nnesha):

\[\large\rm 108 \pi = \frac{4}{3}\pi r^2\] 4 is dividing by 3 to cancel out 3 from right side `multiply 3` both sides

OpenStudy (winsteria):

108*3?

Nnesha (nnesha):

yes \[\large\rm 108 \pi = \frac{4}{\cancel{3}}\pi r^2 \cdot \cancel{3}\] \[3 \cdot 108 \pi = 4 \pi r^2\]

Nnesha (nnesha):

multiply 108 pi by 3

OpenStudy (winsteria):

324

Nnesha (nnesha):

don't forget!! the pi pi is a constant and its value is 3.14 so 324 isn't same as 324pi or (324 times 3.14)

Nnesha (nnesha):

\[ 324\pi = 4 \pi r^2\] now how would you cancel out `4pi` from right side ?

OpenStudy (winsteria):

multiply?

OpenStudy (winsteria):

@dmezzullo

Nnesha (nnesha):

multiply what ?

OpenStudy (winsteria):

each side

Nnesha (nnesha):

well 4pi is already being multiplied by r^2 if you multiply both sides by 4pi you will get 16 you should do `opposite ` of multiplication

OpenStudy (winsteria):

divide

Nnesha (nnesha):

right.

OpenStudy (winsteria):

i sort of give up on this question i think i'm going to do another one :) but thank you

Nnesha (nnesha):

only two step left.. you need r^2 by itself on the right side lets say r^2 is allergic to 4pi that's why 4pi is being divided by itself on both sides

OpenStudy (winsteria):

oh okay

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