Use spherical coordinates.
Let H be a solid hemisphere of radius 2 whose density at any point is proportional to its distance from the center of the base. (Let K be the constant of proportionality.)
(a) Find the mass of H.
(b) Find the center of mass of H. (Assume the upper hemisphere of a sphere centered at the origin.)
(c) Find the moment of inertia of H about its axis.

What is the least common multiple of 16 and 3?

Which statement holds true for absolute value functions? •the absolute value determines the direction in which theb.the coefficient determines the line along which the graph,the distance between the left and the right arm is based od.the vertex coordinates and the absolute value determine 111

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.