# pre-calculus

A company plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24pi cubic inches. If the cost of the material for the bottom is \$.30 per square inch and that for the curved sides is \$.10 per square inch, express the total cost C of the material as a function of the radius r of the base of the container.

1. 👍 0
2. 👎 0
3. 👁 210
1. C = .30*pi r^2 + .1* 2 pi r h

pi r^2 h = 24 pi
r^2 h = 24
h = 24/r^2

C = .30 pi r^2 + .2 pi r (24)/r^2
C = pi (.3 r^2 + 4.8/r)

1. 👍 0
2. 👎 1
posted by Damon
2. Did they not ask for r and h for minimum cost?

1. 👍 0
2. 👎 0
posted by Damon
3. No. This is exactly how the question was presented.

1. 👍 0
2. 👎 0
posted by Nikki
4. OK, wait til next year :)

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### math

A container in the shape of a right circular cylinder with no top has surface area 3*pi (m2). What height h and base radius r will maximize the volume of the cylinder ?

asked by febie on April 9, 2012
2. ### calculus

Campbell’s Soup Company requires that is its tomato soup containers have a capacity of 64 in^3 , have the shape of a circular cylinder, and be made of aluminum. Determine the radius and height of the container that requires the

asked by maggie on August 2, 2016
3. ### Math

Tanya wants to gift-wrap a container that is in the shape of a right circular cylinder. The radius and height of the container are given below in centimeters. Radius is 2.1 cm. Height is 8.8 cm. Which estimate is closest to the

asked by JustMonika on May 21, 2018
4. ### ALGEBRA 2 HONORS

A container is to be made in the shape of a cylinder with a conical top. The lateral surface areas of the cylinder and cone are S1 = 2(pi)rh and S2 = 2(pi)r√(r^2 + h^2). The surface area of the base of the container is B=

asked by Philip on December 7, 2016
5. ### differential calculus

A container open at the top is a right circular cylinder having a surface area of 108 cm^3. What should the radius and altitude be in order to provide the largest possible volume?

asked by mikmik on October 23, 2019
6. ### Math

A firm wants to manufacture an open steel container with a capacity 4l. Determine the dimensions of the container with a square base if they want to use the minimum amount of sheet metal

asked by M Mgaga on June 6, 2015
7. ### math

a liquid storage container on a truck is in the shape of a cylinder with hemispheres on each end. the cylinder and hemispheres have the same radius. the total length of the container is 140 feet. I have got the funcion for the

asked by errer on November 8, 2015
8. ### physics

A graduated cylinder is inverted in a very large bucket of water. The depth of the water in the container is 6 m and the top of the bucket is open to the air in the room. The mouth (bottom) of the graduated cylinder is 4 m above

asked by unknown on December 30, 2013
9. ### SAT Math

A container in the shape of a right circular cylinder contains 12 liters of liquid when it is filled to 3/4 of its height. How many liters does it contain when it is completely filled?

asked by Yuri on July 10, 2011
10. ### Algebra

Tingles wants to sell potato chips in cylindrical containers. So the chips do not fall out the containers will have ends. To be environmentally conscious, the company president wants to make the container entirely out of

asked by Samay on November 27, 2017

More Similar Questions