Question

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?

Answer 1

@jim_thompson5910
@zepdrix

Answer 2

Would the radius not be 3?

Answer 3

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

Answer 4

this isn't a volume of revolution

Answer 5

Hmmmm

Answer 6

it's kinda like this

https://www.youtube.com/watch?v=tmotNcRHr9Q

Answer 7

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

Answer 8

So it would look like a cone?

Answer 9

Since the base is a circle

Answer 10

kinda, more like the sydney opera house

https://upload.wikimedia.org/wikipedia/commons/7/75/Sydney_Opera_House,_botanic_gardens_1.jpg