Hello there,
7. Find the volume of a solid whose base is the region perpindicular to the y axis betweeen the x axis and the curve , and whose perpindicular cross sections are equilateral triangles with a side that lies on the base.
I'm really not sure what to do here. I can't find anything like this in our notes.
Thanks for any help.
area of an equilateral triangle with side length "s" is
side length for each cross-section is the horizontal distance from the y-axis to the curve
.
using the curve's equation, solve for the horizontal distance and use that expression in terms of to set up an integral in the form