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Mathematics 17 Online
OpenStudy (anonymous):

what is the volume of this?

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

jimthompson5910 (jim_thompson5910):

have a look at this http://www.mathopenref.com/coneoblique.html

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!!

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?

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):

\[\Large V = \frac{4}{3}\pi*r^3\] \[\Large 2254\pi = \frac{4}{3}\pi*r^3\] \[\Large r = ???\]

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

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

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