A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your answers to two decimal places.) height 3.62 X cm radius 2.95 x cm Enhanced Feedback :Please try again and draw a diagram. Keep in mind that the volume and surface area of a cone with radius r and height h are V = and S = arr2 + h?, respectively. Sim ithe minimum value of A = s? also gives the minimum value of S, consider the function A = s?. Find a relationship between r and h, using the fact that the volume is a constant Rewrite the surface area as a function of one variable. Use calculus to find the radius and height that minimize the surface area. Need Help? Read It
A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your answers to two decimal places.) height 3.62 X cm radius 2.95 x cm Enhanced Feedback :Please try again and draw a diagram. Keep in mind that the volume and surface area of a cone with radius r and height h are V = and S = arr2 + h?, respectively. Sim ithe minimum value of A = s? also gives the minimum value of S, consider the function A = s?. Find a relationship between r and h, using the fact that the volume is a constant Rewrite the surface area as a function of one variable. Use calculus to find the radius and height that minimize the surface area. Need Help? Read It
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A cone-shaped paper drinking cup is to be made to hold 33 cm³ of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your
answers to two decimal places.)
height
3.62
X cm
radius
2.95
X cm
Enhanced Feedback
:Please try again and draw a diagram. Keep in mind that the volume and surface area of a cone with radius r and height h are V = tr²h and S
= arV r2 + h2, respectively. Since
3
:the minimum value of A
s2 also gives the minimum value of S, consider the function A =
s2. Find a relationship between r and h, using the fact that the volume is a constant.
Rewrite the surface area as a function of one variable. Use calculus to find the radius and height that minimize the surface area.
Need Help?
Read It
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