Next: About this document
Up: MA1022 Lab 3 -
- This exercise is intended to familiarize you with the
procedures revolve, RevInt,
LeftDisk and LeftInt as an approach to approximating the volume
of a solid of revolution using the disk method. Apply the four
commands as listed above to the function f defined by on the interval [0,2] with n=10. Your
answer should include the two numerical values and references to the
two 3-dimensional plots.
- A torus - a solid shaped like a doughnut - is generated by
revolving a circle about an axis that does not intersect the circle.
By rotating the circle about the line y = 3,
print a plot of the torus which depicts its doughnut-like image and
compute its volume. Your answer should include the numerical value
for the volume and a reference to the 3-dimensional plot.
- How would you generalize the formula given in the background to
find the volume of a solid generated by revolving the area between a
segment of the graph of a function and an arbitrary line parallel to
- Design a drinking glass by revolving a suitable function about
the x-axis. In your report, give the function, a three dimensional
plot of your glass and calculate the volume of the liquid filled
portion. You will be graded on the utility and elegance of your
Thu Apr 24 09:03:12 EDT 1997