As a preparation for the long bright summer days, Dr. Acula plans to store gourmet plasma in closed tin cans that have the shape of a cylinder with volume V. As an environmentally conscious member of the community, he wants to use as little metal as possible. a. What is the height h(r) for the can with minimum surface area in terms of the radius of the bottom? h(r) = b. What is the minimum surface area for the can in terms of the portion size V? Amin (V) =

As a preparation for the long bright summer days, Dr. Acula plans to store gourmet plasma in closed tin cans that have the shape of a cylinder with volume V. As an environmentally conscious member of the community, he wants to use as little metal as possible. a. What is the height h(r) for the can with minimum surface area in terms of the radius of the bottom? h(r) = b. What is the minimum surface area for the can in terms of the portion size V? Amin (V) =

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 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

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