Find the volume of a sphere with a radius of 4 inches. Use 3.14 to approximate π. Round answers to the nearest hundredth.
Question 17 options:
a)
33.49
b)
267.95
c)
2,143.57
d)
983.17
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OpenStudy (anonymous):
ok let's walk it through. volume of a sphere is\[V=\frac{ 4 }{ 3 }\pi r ^{3}\]
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so let's break it down
((4/3)*pi) times (r^3)
OpenStudy (anonymous):
192 I got
OpenStudy (anonymous):
ok hold on I messed up
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OpenStudy (anonymous):
40.506
OpenStudy (anonymous):
I got
OpenStudy (anonymous):
what did you get?
OpenStudy (anonymous):
40.506
OpenStudy (anonymous):
how did you get that
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OpenStudy (anonymous):
4.3*3.14*3
OpenStudy (anonymous):
((4/3)*pi) times (r^3)
OpenStudy (anonymous):
ok do the right parenthesis first, what is 4 cubed
OpenStudy (anonymous):
64
OpenStudy (anonymous):
4*4*4=64
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OpenStudy (anonymous):
ok now let look at the left side.
OpenStudy (anonymous):
64*3
OpenStudy (anonymous):
192
OpenStudy (anonymous):
well, let's slow down, what is 64 times 3.14
OpenStudy (anonymous):
200.96
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OpenStudy (anonymous):
ok, now multiply that by 4
OpenStudy (anonymous):
803.84
OpenStudy (anonymous):
good now divide that by 3
OpenStudy (anonymous):
297.9466666667
OpenStudy (anonymous):
great now what's the unit
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OpenStudy (anonymous):
297.95
OpenStudy (anonymous):
can you help me with 1 more
OpenStudy (anonymous):
well no i mean, you'll have \[i n ^{3}\]
OpenStudy (anonymous):
o ok
OpenStudy (anonymous):
can you help me with 1 more
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OpenStudy (anonymous):
can I do it in about half an hour, I have been called to dinner, but i would love to help you with another.