The airport is upgrading their fuel storage tank with a new circular cylinder shaped tank with a lid. To be eco-friendly they wan to minimize the amount of material necessary to build the tank, but the volume must be 1 cubic meter. What dimensions will use the least material? (Volume V=pie?2h and Surface Area S=2pie?2+2pierh).Choose the correct steps you would do to find the dimensions.Step 1selectSolve for the radius plug in the radius in the height function to find the height solve the volume equation for the height solve the surface area equation for the heightset the derivative of the volume function to 0take the derivative of the volume functionplug in the height function in for height in the surface area function set the derivative of the surface area to 0take the derivative of the surface area plug in the known volume into the equation of volume Step 2select Step 3select Step 4select Step 5select Step 6select Step 7select

Answered: The airport is upgrading their fuel…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The airport is upgrading their fuel storage tank with a new circular cylinder shaped tank with a lid. To be eco-friendly they wan to minimize the amount of material necessary to build the tank, but the volume must be 1 cubic meter. What dimensions will use the least material?

(Volume V=pie?2h and Surface Area S=2pie?2+2pierh).

Choose the correct steps you would do to find the dimensions.

Step 1

select

Solve for the radius
plug in the radius in the height function to find the height
solve the volume equation for the height
solve the surface area equation for the height
set the derivative of the volume function to 0
take the derivative of the volume function
plug in the height function in for height in the surface area function
set the derivative of the surface area to 0
take the derivative of the surface area
plug in the known volume into the equation of volume

Step 2

select

Step 3

select

Step 4

select

Step 5

select

Step 6

select

Step 7

select

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