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Mathematics 20 Online
OpenStudy (anonymous):

Anyone ready for a math question?

OpenStudy (anonymous):

@marissalovescats

OpenStudy (marissalovescats):

Well we'll find the volume and that will tell us out answer. We have a whole sphere here (the 2 parts on the end put together make one sphere) And a Cylinde. So we find these 2 volumes and add them together for the full volume. So the sphere, the radius is 2. So we plug 2 in to 4/3pir^3 to get?

OpenStudy (anonymous):

Is that (pi)^3?

OpenStudy (marissalovescats):

Yes

OpenStudy (anonymous):

I got 32/3

OpenStudy (marissalovescats):

Now we have to find the volume of the cylinder in the middle. You find that by: V=pi(h)(r^2) Se we know the radius is 2 because it has the circle base and we know the height is 5 because it's given.

OpenStudy (anonymous):

Correct

OpenStudy (marissalovescats):

So what do you get for the Volume of the Cylinder?

OpenStudy (anonymous):

Will it be 32/3?

OpenStudy (marissalovescats):

No the equation for the Cylinder is different. It is: V=pi(h)(r^2) So: V=pi(5)(2^2) Which is?

OpenStudy (anonymous):

'Cause we haven't find the surface area yet. I thought at first the surface area was 32

OpenStudy (anonymous):

20(pi)

OpenStudy (marissalovescats):

We'll do surface area in a minute, right know focusing on the volume of the entire shape. Yes 20pi

OpenStudy (marissalovescats):

So now to find the TOTAL Volume, we ad the volume of the shere (32/3pi) and the cylinder (20pi) Or cour|dw:1402627323712:dw|se by getting a common denominator and adding them.

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