MaplePrimes - answers and comments on Question, Cutting a sphere into equal pieces and finding the volume of a quarter

first question: sphereplot or plot3d

Kamel Boughrara — Thu, 11 Aug 2011 21:27:13 Z

half sphere:

plot3d(2, theta = 0 .. Pi, phi = 0 .. Pi, coords = spherical, scaling = constrained, axes = normal);

sphereplot(2, theta = 0 .. Pi, phi = 0 .. Pi, coords = spherical, scaling = constrained, axes = normal);

for 1/4 sphere:

sphereplot(2, theta = 0 .. Pi/2, phi = 0 .. Pi, coords = spherical, scaling = constrained, axes = normal);

Partition

Markiyan Hirnyk — Thu, 11 Aug 2011 22:43:09 Z

Download partition.mw PS. The style=surface option in the plot3d command makes a better picture. The area of each part of such partition equals 1/n*area of the sphere=4*Pi*R^2/n for radius R.