Mathematics
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OpenStudy (anonymous):
the volume of a sphere is 3,500pie m^3. what is the surface area of the sphere to the nearest square meter
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OpenStudy (bahrom7893):
ughh too lazy lol ima go eat breakfast, but this is how u'd do it:
V = (4/3) pi r^3 = 3500pi
OpenStudy (bahrom7893):
(4/3)r^3 = 3500, solve for r
then find the surface area by pluggin r into the following:
A = 4pi r^2
OpenStudy (anonymous):
lol ur too lazy or me? lol i like bein lazy but i jus dnt get volume
OpenStudy (anonymous):
ok thnx
OpenStudy (bahrom7893):
just solve for r and then put that into the surface area..
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OpenStudy (anonymous):
how do you plug in for surface area???
OpenStudy (anonymous):
surface area = 4 pi r^2
OpenStudy (anonymous):
LOL, u tryin to slow him down:-)
OpenStudy (anonymous):
ok i got 835.561??????
OpenStudy (anonymous):
this website seems slow this morning
what did you get for r?
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OpenStudy (anonymous):
umm idk
OpenStudy (anonymous):
r^3 = 3500 / (4pi/3)
OpenStudy (anonymous):
couldnt i jus cube root it enstead of tht confusing division
an get 15.18
OpenStudy (anonymous):
= 835.561
r = cube root of this
OpenStudy (anonymous):
so 9.4
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OpenStudy (anonymous):
= 9.419 - to get a more accurate result
OpenStudy (anonymous):
noe plug this into the formula for surface area
4 pi r^2
OpenStudy (anonymous):
Surface area is 3*vol/r
OpenStudy (anonymous):
1114.858
OpenStudy (anonymous):
???
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OpenStudy (anonymous):
yep
OpenStudy (anonymous):
but thats not one of my answer choices
OpenStudy (anonymous):
another way is to use the formula estudier posted -
plug in volume and radius
OpenStudy (anonymous):
what are your answer choices
OpenStudy (anonymous):
a) 2391 m^2
b)43982 m^2
c) 173 m^2
d) 1196 m^2
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OpenStudy (anonymous):
ok i'll recheck the calculations
OpenStudy (anonymous):
oh ok - i used 3500 for the volume - it is 3500 pi - sorry
OpenStudy (anonymous):
so??? wats tha answer?
OpenStudy (anonymous):
so we have 4/3 r^3 = 3500
r = 13.795
OpenStudy (anonymous):
oh snap its A
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OpenStudy (anonymous):
using the formula are = 3 * vol / r
area = 3 * 3500pi / 13.795 = 2391 to nearest meter
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
ok how you get surface area from volume???
OpenStudy (anonymous):
V=4 pi r^3 /3
SA = 4 pi r^2
-> SA = 3*V/r (divide on by other).
OpenStudy (anonymous):
ok thnx imma try an get it myself
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OpenStudy (anonymous):
yw
OpenStudy (anonymous):
ok one more ? how you get r from volume?
OpenStudy (anonymous):
rearrange the formula for voluime making r the subject
V = (4/3) pi r^3
divide both sides by (4/3) pi
r^3 = V / (4/3) pi
r = cube root [ V / (4/3) pi]
OpenStudy (anonymous):
In this case you didn't have to worry about the pi because the question put the volume as a multiple of pi, so it cancels.
OpenStudy (anonymous):
ok imma post the ? that im workin on hold on