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Mathematics 17 Online

OpenStudy (anonymous):

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid?

11 years ago

OpenStudy (anonymous):

@jim_thompson5910 @zepdrix

11 years ago

OpenStudy (anonymous):

Would the radius not be 3?

11 years ago

OpenStudy (anonymous):

https://i.gyazo.com/f3d88835c49eb9270050edba54fcec2d.png

11 years ago

jimthompson5910 (jim_thompson5910):

this isn't a volume of revolution

11 years ago

OpenStudy (anonymous):

Hmmmm

11 years ago

jimthompson5910 (jim_thompson5910):

it's kinda like this https://www.youtube.com/watch?v=tmotNcRHr9Q

11 years ago

jimthompson5910 (jim_thompson5910):

instead of gluing a bunch of disks together, you're gluing a bunch of equilateral triangles together

11 years ago

jimthompson5910 (jim_thompson5910):

|dw:1444448060321:dw|

11 years ago

OpenStudy (anonymous):

So it would look like a cone?

11 years ago

OpenStudy (anonymous):

Since the base is a circle

11 years ago

jimthompson5910 (jim_thompson5910):

kinda, more like the sydney opera house https://upload.wikimedia.org/wikipedia/commons/7/75/Sydney_Opera_House,_botanic_gardens_1.jpg

11 years ago

jimthompson5910 (jim_thompson5910):

|dw:1444448113459:dw|

11 years ago

jimthompson5910 (jim_thompson5910):

|dw:1444448131880:dw|

11 years ago

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