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OpenStudy (tylermckinney16):
Questions here.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
u got another medal
OpenStudy (tylermckinney16):
ok :)
OpenStudy (anonymous):
thats still good grade
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OpenStudy (anonymous):
wich ones u get wrong
OpenStudy (kamibug):
First let's find the volume of the cone...
\[Volume ~of ~a ~cone = \pi*r^2 *\frac{ h }{ 3 }\]
Can you plug in the radius and height? :)
OpenStudy (anonymous):
kami
OpenStudy (kamibug):
Yash
OpenStudy (anonymous):
i already helped him in massages lol but ty ill give u medal
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OpenStudy (kamibug):
Oh, lol. xD
Thanks:)
OpenStudy (anonymous):
lol
OpenStudy (tylermckinney16):
Kiity i got em all wrong lol.
OpenStudy (anonymous):
how
OpenStudy (tylermckinney16):
it says i got them wrong lol
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OpenStudy (anonymous):
retry ill give all write post all in comment
OpenStudy (tylermckinney16):
60000 @KamiBug
OpenStudy (tylermckinney16):
??
OpenStudy (kamibug):
Show your steps? :P
OpenStudy (tylermckinney16):
300*200=60000
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OpenStudy (kamibug):
Eek, you gotta use the formula I put up there ^^^ XD
OpenStudy (tylermckinney16):
300*200*1/3=20000? lol
OpenStudy (kamibug):
\[V = 3.14*150*\frac{ 200 }{ 3 }\]
pi = 3.14
r = half the diameter (300/2=150)
h(height) = 200
OpenStudy (tylermckinney16):
oh ok i understand
OpenStudy (phi):
*** 300*200*1/3=20000? lol***
that is close
but you want the radius (not the diameter). the diameter is 300. the radius is only ½ of that
also, you should put in pi. pi is about 3.14
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OpenStudy (tylermckinney16):
is that the answer?
OpenStudy (tylermckinney16):
or just the formula?
OpenStudy (kamibug):
Thats the formula for the cone. After solving that we need to find the volume of the half sphere on top.
OpenStudy (phi):
you are finding the volume of the cone
you also have to find the volume of the "half sphere"
that is a different formula
you then add up the volume of the cone and the one-half sphere
OpenStudy (tylermckinney16):
ok cool.
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OpenStudy (kamibug):
So what do you get for the volume of the cone after simplifying what we plugged in? :)
OpenStudy (tylermckinney16):
i got 31400 lol
OpenStudy (kamibug):
Looks good. :) Now, how do you think we can find the volume of the figure on top of the cone?
OpenStudy (tylermckinney16):
hmm idk could u explain lol
OpenStudy (kamibug):
Well it's half of a sphere right ? So we can use the formula for the volume of a sphere and then divide what we get by 2.
Do you know what the formula is? ^.^
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OpenStudy (tylermckinney16):
ok cool.
OpenStudy (anonymous):
oh srry in back
OpenStudy (phi):
btw, the formula for the volume of the cone is
\[ V= \frac{1}{3} \pi r^2 \ h\]
notice is has r^2 (r squared) or r*r
not just r
so you should re-do that part.
OpenStudy (kamibug):
Oh, that's my bad! I left out the '^2' in the formula...! Sorry @TylerMckinney16 So the final volume for the cone would actually be 4,710,000 ^_^
OpenStudy (kamibug):
Thank you! @phi
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OpenStudy (tylermckinney16):
Ok now what ? :)
OpenStudy (kamibug):
Now we find the volume of the half sphere ^,^ You know the formula for that?
OpenStudy (tylermckinney16):
Could you put the formula.
OpenStudy (kamibug):
\[V = \frac{ 2 }{ 3 }*\pi*r^3\]
OpenStudy (tylermckinney16):
sweet :) ill do it right now
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OpenStudy (kamibug):
Great :D
OpenStudy (tylermckinney16):
300*200*2/3=40000??
OpenStudy (anonymous):
tyler
OpenStudy (kamibug):
You forgot pi (3.14). ^.^
Remember the radius is 150, not 300. :) And you need to cube it...150^3
Also, the formula doesn't ask for the 200...that's the height of the cone. :P
\[V = 150^3 * 3.14 * \frac{ 2 }{ 3 }\]
OpenStudy (anonymous):
hello
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OpenStudy (tylermckinney16):
ok 2/3*3.14*150^3=7065000??? is this good.
OpenStudy (kamibug):
Yup, perfect!
OpenStudy (kamibug):
Now we add that to our other volume...
7,065,000 + 4,710,000 = ?
OpenStudy (tylermckinney16):
11.775
OpenStudy (kamibug):
Right, 11,775,000.
Hmm...looks like I must have made a mistake somewhere along the way bc it's not one of the answer choices...A is the closest though. :o
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OpenStudy (tylermckinney16):
Yeah lol.
OpenStudy (kamibug):
@Zarkon What do you think?
OpenStudy (zarkon):
use more digits of \(\pi\)
OpenStudy (zarkon):
using the value of \(\pi\) on my calculator I get 11,780,972.451
OpenStudy (kamibug):
Oh, okay! Good idea. ^.^ So the fraction 22/7 would be better right? :)
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