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) =

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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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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