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?
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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?
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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
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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
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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
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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
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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