Use spherical coordinates. (a) find the centroid of a solid homogeneous hemisphere of radius 2. (assume the upper hemisphere of a sphere centered at the origin. use the density function ρ(x, y, z) = k. ) (x, y, z) = 0,0, 3 4 (b) find the moment of inertia of the solid in part (a) about a diameter of its base.

If 25% of y is 30, what is 60% of y?

Vinay constructed this spinner based on the population of teachers at his school according to vinays model what is the probability that he will have a male history teacher two years in a row

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.