Mathematics
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OpenStudy (anonymous):
what is the volume of this?
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
What is the area of the base?
OpenStudy (anonymous):
idk what the formula for area is for an oblique cone
jimthompson5910 (jim_thompson5910):
it's the same for a regular cone
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OpenStudy (anonymous):
807.28 ? fo the area
jimthompson5910 (jim_thompson5910):
how are you getting that?
OpenStudy (anonymous):
A=πr(r+h2+r2)
jimthompson5910 (jim_thompson5910):
The formula you should use is
\[\Large V = \pi*r^2*h\]
since you want the volume
OpenStudy (anonymous):
1,513!!
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OpenStudy (anonymous):
right?
jimthompson5910 (jim_thompson5910):
1,513.20046147909 and that rounds to 1,513
good job
OpenStudy (anonymous):
can you help me with one or two more??
jimthompson5910 (jim_thompson5910):
I can help with one more
OpenStudy (anonymous):
the volume of a sphere is 2,254pi m^3. what is the surface area of the sphere?
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jimthompson5910 (jim_thompson5910):
First use the volume of a sphere formula
\[\Large V = \frac{4}{3}\pi*r^3\]
jimthompson5910 (jim_thompson5910):
to determine the radius (given the volume)
OpenStudy (anonymous):
wait so how do i find the radius? cause i have to plug it into that right?
jimthompson5910 (jim_thompson5910):
you plug in V = 2254pi and solve for r
jimthompson5910 (jim_thompson5910):
\[\Large V = \frac{4}{3}\pi*r^3\]
\[\Large 2254\pi = \frac{4}{3}\pi*r^3\]
\[\Large r = ???\]
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OpenStudy (anonymous):
11.91
jimthompson5910 (jim_thompson5910):
roughly, yes
jimthompson5910 (jim_thompson5910):
then you use this radius to find the surface area
jimthompson5910 (jim_thompson5910):
Surface Area of a Sphere
\[\Large SA = 4\pi*r^2\]
OpenStudy (anonymous):
1,783.3 m^2
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jimthompson5910 (jim_thompson5910):
I'm getting
4*pi*11.91^2 = 1,782.51579554269
so that's close
jimthompson5910 (jim_thompson5910):
there's probably roundoff error in either of our work
OpenStudy (anonymous):
oh yeah probably mine. its multiple choice tho so i got my answer!! thank you :)
jimthompson5910 (jim_thompson5910):
Turns out the radius is more like 11.91255883
so...
4*pi*11.91255883^2 = 1,783.28181483214
jimthompson5910 (jim_thompson5910):
ok great