Mathematics
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OpenStudy (anonymous):
A tennis player has 6 balls with a diameter of 6 cm. Find the volume of all 6 balls. ??
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OpenStudy (anonymous):
volume of a sphere (in this case one ball) = 4/3 πr^3
radius of a ball = diameter/2 = 6/2=3
can you do it now ?
OpenStudy (anonymous):
im not sure can you write the formula again? because that is confusing
OpenStudy (anonymous):
???
OpenStudy (anonymous):
@amriju help me please
OpenStudy (anonymous):
@amriju ??
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OpenStudy (anonymous):
@xapproachesinfinity
OpenStudy (anonymous):
A tennis player has 6 balls with a diameter of 6 cm. Find the volume of all 6 balls.
OpenStudy (amriju):
hey i am so sorry..my laptop was on...i was else where
OpenStudy (amriju):
ok..so we are dealing with volume of spheres..so what is the volume of one sphere? do you know?
OpenStudy (anonymous):
no
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OpenStudy (amriju):
ok you know what is radius of a sphere, right?
OpenStudy (anonymous):
isnt that like the middle
OpenStudy (amriju):
the middle is the center. RAdius is the distance of the center from like the sphere's outline...you understand?
OpenStudy (anonymous):
yes
OpenStudy (amriju):
so the volume of 1 sphere is 4*pi*(radius)^3/3...radius^3 means radius to the power 3..you know what is pi?
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OpenStudy (anonymous):
yes 3.14
OpenStudy (amriju):
correctomundo..so can you find the volume of 1 sphere?
OpenStudy (anonymous):
but i dont have the radius
OpenStudy (amriju):
yes..so here comes the diameter...you know what that is? its double of radius..so can you find the radius now?
OpenStudy (anonymous):
so 12
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OpenStudy (amriju):
my friend, diameter is double of radius..so radius is half of diametre
OpenStudy (amriju):
hey..
OpenStudy (anonymous):
oh so 3
OpenStudy (amriju):
yupp..:)..you got it..now go for the volume soldier
OpenStudy (anonymous):
110.214 ?
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OpenStudy (amriju):
are you sure?calculate once more
OpenStudy (anonymous):
339.12
OpenStudy (amriju):
baby..you forgot to divide by 3 :(
OpenStudy (amriju):
oh..sorry for that word...mistake of mine
OpenStudy (anonymous):
can you rewrite the formula
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OpenStudy (amriju):
4*pi*(radius)^3/3
OpenStudy (anonymous):
113.04
OpenStudy (amriju):
yippie..so u have the volume of 1 sphere...so the volume of 6 spheres will be?
OpenStudy (anonymous):
678.24
OpenStudy (amriju):
hoorah....:)
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OpenStudy (anonymous):
can you help me with 3 more please
OpenStudy (amriju):
as long as I get a medal..;)
OpenStudy (anonymous):
Baseballs have a radius of 9 cm. Find the volume of 5 balls.
OpenStudy (amriju):
hey...thats cheating..the last problem was harder than this..give atry..tell me how to do it..
OpenStudy (amriju):
hello...
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OpenStudy (anonymous):
im thhinking
OpenStudy (amriju):
hey you did the last one..
OpenStudy (amriju):
did you find a way?
OpenStudy (anonymous):
188.4
OpenStudy (anonymous):
i tried and bet its still wrong
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OpenStudy (amriju):
did you find any answer..if you did..tell me..
OpenStudy (amriju):
you dont want to post it here..msg me
OpenStudy (anonymous):
188.4
OpenStudy (amriju):
ok what did you do?
OpenStudy (anonymous):
well 4x 3.14 x 27/9
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OpenStudy (anonymous):
37.68
OpenStudy (amriju):
why did you do 27/9?...the formula is 4*pi*(radius)^3/3
OpenStudy (amriju):
heyyyyyy
OpenStudy (anonymous):
i got 3,052.08 ???
OpenStudy (amriju):
yo..so find for 5 spheres...
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OpenStudy (anonymous):
what thats right?
OpenStudy (amriju):
yes dearie..:)..see you can do it
OpenStudy (anonymous):
but its going to give me a really big number, i dont think it'll be right
OpenStudy (amriju):
come on, trust me..
OpenStudy (anonymous):
15260.4
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OpenStudy (amriju):
which is correct...
OpenStudy (amriju):
u dont believe me..ask any body else...
OpenStudy (amriju):
ok so the next questions?
OpenStudy (anonymous):
OpenStudy (amriju):
wait a minute
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OpenStudy (anonymous):
ok
OpenStudy (amriju):
so volume of the shaded region once again, huh..? :)
OpenStudy (anonymous):
yesss
OpenStudy (amriju):
if i tell u that the volume of the shaded region is volume of the larger sphere-volume of the smaller sphere, would you mind?
OpenStudy (anonymous):
what do you mean
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OpenStudy (amriju):
look at the picture...the larger sphere is made of the shaded part and the smaller sphere, right?
OpenStudy (anonymous):
oh yes
OpenStudy (amriju):
so if you would subtract the volume of the smaller sphere from the larger one, what would you be left with?
OpenStudy (anonymous):
6
OpenStudy (amriju):
no no thats not what i meant..would you not be left with the volume of d shaded part?
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OpenStudy (anonymous):
oooh yes
OpenStudy (amriju):
are you clear over here..shall i proceed?
OpenStudy (anonymous):
yes
OpenStudy (amriju):
ok then..so why dont you find the volume of the larger and smaller sphere?
OpenStudy (anonymous):
but how? with the same formula ive used or what
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OpenStudy (amriju):
obviously..when you are dealing with volume of a sphere, thats the formula u use
OpenStudy (anonymous):
4x 3.14 x what?
OpenStudy (amriju):
radius^3/3
OpenStudy (anonymous):
but the radius?
OpenStudy (amriju):
you got the diameter..remember what i told u?
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OpenStudy (anonymous):
oh twice of the diameter or half?
OpenStudy (amriju):
radius is half of diameter
OpenStudy (anonymous):
but theres two diameters
OpenStudy (amriju):
yeah..the bigger diameter is for d bigger sphere..the smaller one for the smaller sphere...now calculate the volume of the larger nd smaller sphere
OpenStudy (amriju):
did u find it baby?
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OpenStudy (anonymous):
large one 904.32
small one 113.04
OpenStudy (amriju):
so now what is the volume of the shaded part?
OpenStudy (anonymous):
well how do i find that
OpenStudy (amriju):
remember what i told you..the bigger sphere is made up of the smaller sphere and the shaded part...
OpenStudy (anonymous):
so do i add subtract what?
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OpenStudy (amriju):
give a wild try. what should you do?
OpenStudy (anonymous):
subtract