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Mathematics 16 Online
OpenStudy (anonymous):

If a sphere has a radius 15 m, what is the volume of the hemisphere? I plugged in the formula and if im doing this correctly i got 14130, divided by 2 to find the hemisphere and got 7065 but thats not an option so i want to know where i went wrong?

jimthompson5910 (jim_thompson5910):

what answer choices do you have

OpenStudy (anonymous):

4500 π m3 9000 π m3 2250 π m3 1125 π m3

OpenStudy (anonymous):

*m^3

jimthompson5910 (jim_thompson5910):

ok so you don't use 3.14 for pi, you just leave it alone

OpenStudy (anonymous):

wait how do i leave out pi?

jimthompson5910 (jim_thompson5910):

think of pi as a variable, don't replace it with 3.14

jimthompson5910 (jim_thompson5910):

does that make sense?

OpenStudy (anonymous):

.. now im really lost..

jimthompson5910 (jim_thompson5910):

what is the formula you used

OpenStudy (anonymous):

4/3 π 15^3

jimthompson5910 (jim_thompson5910):

it has a pi in it, so compute it without the pi in it then at the very end, just tack on 'pi'

OpenStudy (anonymous):

ok so 4/3x15^3?

jimthompson5910 (jim_thompson5910):

that's the volume of a sphere you would cut that in half to get 4/6 pi*15^3 or 2/3 pi * 15^3 which is now the volume of a hemisphere

jimthompson5910 (jim_thompson5910):

yes do all of your calculations without pi

OpenStudy (anonymous):

or n

jimthompson5910 (jim_thompson5910):

then at the very end, tack on a pi symbol

OpenStudy (anonymous):

ok give me a second

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

i dont have a scientific calculator so im using the laptop calculator and i cant figure out how to use a variable -_-

jimthompson5910 (jim_thompson5910):

ignore the variable pretend the pi isn't there at all until the very end

OpenStudy (anonymous):

will that work?

OpenStudy (anonymous):

oh wait 4500?

jimthompson5910 (jim_thompson5910):

yes it will

jimthompson5910 (jim_thompson5910):

now cut that in half

OpenStudy (anonymous):

i wish i could give you more medals

jimthompson5910 (jim_thompson5910):

because you're dealing with a hemisphere

jimthompson5910 (jim_thompson5910):

so it's really 2250 then you tack on pi to get the answer of 2250pi

OpenStudy (anonymous):

ok so 2250. thank you!

jimthompson5910 (jim_thompson5910):

yes, yw

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