Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 3

Unit Five (Part 1)

AP Calculus Take-Home Packet

Optimization

Cat Food Can Problem

The Carnation Company of L.A. produces and distributes Friskies Buffet Cat Foods. All flavors come in

cylindrical containers. A six ounce can of Friskies Buffet Mixed Grill has a volume of roughly 14.5 cubic

inches and has the following dimensions: height = 1.75 inches and radius = 1.62 inches.

But do the dimensions of this Friskies can have the smallest surface area that contains 14.5 cubic inches?

Sounds like a calculus problem...

Determine the radius and height of the can having a volume of 14.5 cubic inches and that has the smallest

surface area.

Why do Carnation and other companies package cat food and tuna and chicken in short cans that do not

minimize the surface area?

Go to

to find out why!!

CLASS, TAKE YOUR SEATS

Can you fill in the first initial of each student in this math teacher’s seating chart using only the clues

below?

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0 votes

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