A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubiccentimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 centsper square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Findthe dimensions for the package that will minimize production cost.Helpful information:h: height of cylinder, r : radius of cylinderVolume of a cylinder: V =Area of the sides: A = 2rrhArea of the top/bottom: ATo minimize the cost of the package:Radius:cmHeight:cmMinimum cost:centsQuestion Help: D VideoSubmit QuestionJump to Answer

Answered: Image /qna-images/answer/5b9444d5-2870-49b9-bde1-3752e8f1b3d2.jpg

Answered: A microwaveable cup-of-soup package…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

See similar textbooks

Similar questions

The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS