Answered step by step
Verified Expert Solution
Question
1 Approved Answer
5. The McRonald's restaurant is designing a topless, cylindrical paper cup. It has a bottom radius of r cm and a height ofh cm. 8)
5. The McRonald's restaurant is designing a topless, cylindrical paper cup. It has a bottom radius of r cm and a height ofh cm. 8) The paper cup needs to hold a drink volume, V, of cm3. Produce an equation that gives the correct value of V using r and h. Then, use this equation to produce an expression for h in terms 2 ofr, such ash = m". McRonald's wishes to use the least amount of paper for the cup. Produce an equation for the total paper area, A(r), in terms of radius r. Substitute h and c (the length of the side) with an expression for r, so that they do not appear in the function equation. Specify the domain of r. Use Desmos to produce A'(r) and paste a picture below. Based on yourA'(r), what should be the radius of the cup for McRonald to use the least amount of paper? Explain. Finally, provide the minimum paper area. A manual derivative process is NOT necessary
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started