Mathematics
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OpenStudy (anonymous):
Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi
@Directrix
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Directrix (directrix):
sphere, volume, radius = 7 cm, Radius is half of diameter. 14/2 = 7
Volume of Sphere:
V = 4/3 * π * r³
Directrix (directrix):
V = 4/3 * π * r³
V = 4/3 * π * 7³
Directrix (directrix):
In terms of π, remember.
OpenStudy (anonymous):
i think i did it wrong
OpenStudy (anonymous):
i got 343 and i didnt approximate the pi
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Directrix (directrix):
I got (1372/3) π cubic cm
Directrix (directrix):
I think you cubed the 7 and did not multiply that times (4/3).
Try again.
OpenStudy (anonymous):
yea i cubed it
Directrix (directrix):
What are the answer options? I don't think we are supposed to approximate 1372/3
OpenStudy (anonymous):
457.3?
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Directrix (directrix):
Answer options?
Directrix (directrix):
There has to be a pi.
OpenStudy (anonymous):
A.1,219 m2
B.50,265 m2
C.181 m2
D1,307 m2
Directrix (directrix):
They approximated the improper fraction. Let me think.
Directrix (directrix):
(1372/3) π cubic cm = 457.3 π cubic meters.
HOLD ON: We did volume rather than Surface Area.
So, we have the right answer to the wrong question.
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Directrix (directrix):
The answer we got is an option because the homework writer always includes the volume and surface area answers hoping that we will mess up and we did.
Directrix (directrix):
No worries. We will fix it.
OpenStudy (anonymous):
sorry i put the wrong answer choices
OpenStudy (anonymous):
196pi cm^2
Directrix (directrix):
I put the wrong formula.
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Directrix (directrix):
Surface area of a sphere:
A = 4 * π * r²
Directrix (directrix):
A = 4 * π * 7²
Directrix (directrix):
I got 196π square cm.
Directrix (directrix):
What did you get?
OpenStudy (anonymous):
the same
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Directrix (directrix):
Is that one of the answer options?
OpenStudy (anonymous):
yes
Directrix (directrix):
Sorry that I messed us up on that question.
OpenStudy (anonymous):
no that was my fault but you did it before so that's how i got the answer