A leaking can: The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See Figure 5.106.) The depth H, in inches, of water remaining in the can is a function...

A leaking can: The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See Figure 5.106.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H:

a. Show thatH can be modeled as a quadratic function of D.

b. Find the formula for H as a quadratic function of D.

c. When the depth is 4 inches, how far from the base of the can will the water stream strike the ground?

d. When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can?