Question: Sweet candies are sold in packets in the form of open cylinder with height h cm and radius rcm. The surface area of an open cylinder is 2007cm². a) Find the dimensions of the cylinder to achieve a maximum volume. b) The cost for the construction of the packet is 30cent/cm2 for the curved surface while the cost for bottom surface is half of the curved surface cost. Find the cost of the construction of the packet when the volume of the cylinder is maximum. Give your answer in term of r.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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Question:
Sweet candies are sold in packets in the form of open cylinder with
height h cm and radius rcm. The surface area of an open cylinder is
200.zcm².
a) Find the dimensions of the cylinder to achieve a maximum
volume.
b) The cost for the construction of the packet is 30cent/cm for the
curved surface while the cost for bottom surface is half of the
curved surface cost. Find the cost of the construction of the
packet when the volume of the cylinder is maximum. Give your
answer in term of r.
Transcribed Image Text:Question: Sweet candies are sold in packets in the form of open cylinder with height h cm and radius rcm. The surface area of an open cylinder is 200.zcm². a) Find the dimensions of the cylinder to achieve a maximum volume. b) The cost for the construction of the packet is 30cent/cm for the curved surface while the cost for bottom surface is half of the curved surface cost. Find the cost of the construction of the packet when the volume of the cylinder is maximum. Give your answer in term of r.
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