Snow globes consist of a glass sphere that is filled with liquid and other contents. If the inside radius of the snow globe is 3 in., find the approximate volume of material in cubic inches that can fit inside.
The diagram shows a hemisphere, a circular cone, and a circular cylinder with heights and radii both equal to 9. a. Sketch parallel cross-sections of each solid at height 3 above plane P. b. The base of the hemisphere, the vertex of the cone, and the base of the cylinder lie in base plane P. Sketch parallel cross-sectional disks of the figures at a distance h from the base plane, and then describe how the areas of the cross-sections are related.