Find the volume of the solid that lies under the plane 4x+6y-22 +15=0 and above the rectangle R = {(x,y) 1-1 ≤ x ≤2 ≤ y ≤13.

For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?