7. A cone-shaped paper drinking cup is to hold 40 cm' of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the exact answers. Radius= cm Height= dinda's cm 1700 CH
7. A cone-shaped paper drinking cup is to hold 40 cm' of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the exact answers. Radius= cm Height= dinda's cm 1700 CH
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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Please do answer all of the following questions. Thank you!
Transcribed Image Text:7. A cone-shaped paper drinking cup is to hold 40 cm³ of water. Find the height and radius of the cup that
will require the least amount of paper.
NOTE: Enter the exact answers.
Radius=
cm
Height =
cm
8. A cylindrical can, open at the top, is to hold 700 cm³ of liquid. Find the height, h, and the radius, r, that
minimize the amount of material needed to manufacture the can. NOTE: Enter the exact answers.
h=
r=
9. A rectangular page is to contain 84 square inches of printable area. The margins at the top and bottom of
the page are each 1 inch, one side margin is 1 inch, and the other side margin is 2 inches. What should the
dimensions of the page be so that the least amount of paper is used?
NOTE: Enter the exact answers.
cm
cm
width of page =
height of page=
10. A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 64 - x². For
all such rectangles, what are the dimensions of the one with largest area?
inches
inches
NOTE: Enter the exact answers.
width of rectangle =
height of rectangle =
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