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You plan to build a cylindrical container with no top. The material used for the lateral sides costs $6 per square foot while the material for the bottom costs $7 per square foot. (a) Express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. S= (b) Express the cost of building the open cylinder in terms of the cylinder's radius, r, and height, h. C= (c) If the volume of the cylindrical container is 400 cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. C(r) = (d) If the volume of the cylindrical container is V cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. Note - Your answer will have V in it, but V is a constant here. Use an upper case V. C(r) =

You plan to build a cylindrical container with no top. The material used for the lateral sides costs $6 per square foot while the material for the bottom costs $7 per square foot. (a) Express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. S= (b) Express the cost of building the open cylinder in terms of the cylinder's radius, r, and height, h. C= (c) If the volume of the cylindrical container is 400 cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. C(r) = (d) If the volume of the cylindrical container is V cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. Note - Your answer will have V in it, but V is a constant here. Use an upper case V. C(r) =

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 26A: The container is in the shape of a frustum of a right circular cone. The smaller base area is 426...
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You plan to build a cylindrical container with no top. The material used for the lateral sides costs $6 per square foot while the material for the bottom costs $7 per square foot. (a) Express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. S = (b) Express the cost of building the open cylinder in terms of the cylinder's radius, r, and height, h. C = (c) If the volume of the cylindrical container is 400 cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. C(r) = (d) If the volume of the cylindrical container is V cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. Note Your answer will have V in it, but V is a constant here. Use an upper case V. C(r) =
Transcribed Image Text:You plan to build a cylindrical container with no top. The material used for the lateral sides costs $6 per square foot while the material for the bottom costs $7 per square foot. (a) Express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. S = (b) Express the cost of building the open cylinder in terms of the cylinder's radius, r, and height, h. C = (c) If the volume of the cylindrical container is 400 cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. C(r) = (d) If the volume of the cylindrical container is V cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. Note Your answer will have V in it, but V is a constant here. Use an upper case V. C(r) =
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