SOLUTION: Find the volume of the solid of revolution formed by revolving the triangle whose vertices are (2, 0, 0), (1, 0, 1), and (1, 0, 0) around the z-axis
Algebra.Com
Question 1090452: Find the volume of the solid of revolution formed by revolving the triangle whose vertices are (2, 0, 0), (1, 0, 1), and (1, 0, 0) around the z-axis
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If you look at the xz plane, the triangle looks like this,
.
.
.
.
.
.
.
So rotating the triangle will lead to a cone with radius of 1 and height of 1.
Substituting,
RELATED QUESTIONS
compute the volume of the solid formed by revolving the region bounded by y=11-x, y=0 and (answered by Fombitz)
1. Sketch the graph of y=3e^2x ,x=0, x=2 and x-axis. Shade the region bounded by
the (answered by ikleyn,Alan3354)
Find the volume of the solid formed by rotating the region enclosed by
x=0, x=1, y=0, (answered by robertb)
Find the volume of the solid generated by revolving about the indicated axis the region... (answered by ikleyn)
If R is a region between the graphs of the function f(x)=sinx and g(x)=cosx over the... (answered by Alan3354,ikleyn)
find the area of a triangle whose vertices are A(1, 1, 0) B(2, 1, 1) and C(1, 1, 2)
(answered by Edwin McCravy)
Find the volume of the solid of revolution formed by rotating the region bounded by the... (answered by ikleyn)
Find the center, vertices, and foci of the ellipse with equation x squared divided by one (answered by MathLover1)
Find the center, vertices, and foci of the ellipse with equation x squared divided by one (answered by MathLover1)