1. Making a Can- A can in the shape of a right circular cylinder is required to have a volume of 250 cubic centimeters.
(a) Express the amount A of material to make the can as a function of the radius r of the cylinder.
(b) How much material is required if the can is of radius 3 centimeters?
2. Height and Head Circumference. The head circumference C of a child is related to the height H of the child (both in inches) through the function:
H(C) = 2.15C – 10.53?
(a) Express the head circumference C as a function of height H.
(b) Predict the head circumference of a child who is 26 inches tall.
3. Solve the following logarithmic equation. Exact answers only.
log3(???? + 4) = 2 + log3(???? ? 20)