2. A conical paper cup is to hold a fixed volume of water. Find the ratio of the height to base radius of the cone which minimizes the amount of paper needed to make the cup. Use the formula arVr² + h² for the lateral surface area of the cone.

PREALGEBRA
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ISBN:9781938168994
Author:OpenStax
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Chapter9: Math Models And Geometry
Section: Chapter Questions
Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...
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2. A conical paper cup is to hold a fixed volume of water. Find the ratio of the height
to base radius of the cone which minimizes the amount of paper needed to make
the cup. Use the formula arVr² + h² for the lateral surface area of the cone.
Transcribed Image Text:2. A conical paper cup is to hold a fixed volume of water. Find the ratio of the height to base radius of the cone which minimizes the amount of paper needed to make the cup. Use the formula arVr² + h² for the lateral surface area of the cone.
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