SOLUTION: A can is made in the shape of a right circular cylinder and is to hold one pint. (For dry goods, one pint is equal to 33.6 cubic inches. (a) Find an expression for the volume V

Question 1119140: A can is made in the shape of a right circular cylinder and is to
hold one pint. (For dry goods, one pint is equal to 33.6 cubic inches.
(a) Find an expression for the volume V of the can in terms of the height h and the base
radius r.
(b) Find an expression for the surface area S of the can in terms of the height h and the
base radius r. (Hint: The top and bottom of the can are circles of radius r and the side
of the can is really just a rectangle that has been bent into a cylinder.)
(c) Using the fact that V = 33.6, write S as a function of r and state its applied domain.
(d) Use your graphing calculator to find the dimensions of the can which has minimal surface
area.
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Volume:

Surface Area:

You should be able to follow instructions in the questions (c) and (d) to do those.
RELATED QUESTIONS
A patient drank 6 ounces of juice.3 cups of water and half a pint of milk. If one ounce... (answered by MathLover1)

If you combine one pint of 1% milk and one pint of 2% milk what percentage of fat is the... (answered by josmiceli)

A decorator is painting an odd shaped wall in an attic. The wall has one window,... (answered by Boreal)

you have a 6-pint mixture of paint that is made up of equal amount of red and yellow... (answered by macston,josgarithmetic)

1 galons = 128 ounces 1 liter = 33.8 ounces 1 quart = 32 ounces 1 pint = 16 ounces (answered by LinnW)

The radius of the base of right circular cylinder A is equal to the radius of the base of (answered by josgarithmetic)

Please help me solve this: jean is making punch for her daughter. she combines 2 liters... (answered by rwm)

The rate at which a tablet of vitamin C begins to dissolve depends on the surface area of (answered by ankor@dixie-net.com)

A can in the shape of a right circular cylinder is required to have a volume of 700 cubic (answered by nerdybill)