a) Sketch the circle (x − a)^2 + y^2 = b^2, a b.
b) Rotate this circle about the y-axis. What does the solid look like? This solid is called
a torus. Set up the integral for the volume of the torus using the washer method.
c) The area of the circle x^2 + y^2 = b^2
can be computed by splitting up the circle into
horizontal strips. Set up the integral for the area of this circle.
d) Compare the integrals in b) and c) to ﬁnd the volume of the torus.

Thank You so much!

Question

a) Sketch the circle (x − a)^2 + y^2 = b^2, a > b.
b) Rotate this circle about the y-axis. What does the solid look like? This solid is called
a torus. Set up the integral for the volume of the torus using the washer method.
c) The area of the circle x^2 + y^2 = b^2
can be computed by splitting up the circle into
horizontal strips. Set up the integral for the area of this circle.
d) Compare the integrals in b) and c) to ﬁnd the volume of the torus.

Thank You so much!

y2o2 · Answer

it will be something like that: