Note: for full task with illustrations and solutions, see link http://auhsdmath.pbworks.com/w/file/fetch/77336423/Glasses.pdf
The diagram shows three glasses (not drawn to scale). The measurements are all in
centimeters.
(see link above for illustration)
The bowl of glass 1 is cylindrical. The inside diameter is 5 cm and the inside height is 6 cm. The bowl of glass 2 is composed of a hemisphere attached to cylinder. The inside diameter of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 3 cm. The bowl of glass 3 is an inverted cone. The inside diameter is 6 cm and the inside slant height is 6 cm.
a. Find the vertical height of the bowl of glass 3.
b. Calculate the volume of the bowl of each of these glasses.
c. Glass 2 is filled with water and then half the water is poured out. Find the height of the water.