You want to design a paper cup in the shape of a right circular cone, so that its generatrix has a length of 15 cm and whose radius of the base in centimeters isr. h h is the height, and V the volume in cm^3, so the function of V in terms of h that allows to find the height of the cone that generates the maximum volume of the paper cup is? -15mh On) V' (A) = - 2mh V225 – e Ob) V' (h) – 225n - 3nh -15nh Oc) V' (A) - Od V' (A) = 75 – nh?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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You want to design a paper cup in the shape of a right circular cone, so that its generatrix has a
length of 15 cm and whose radius of the base in centimeters is r.
h
h is the height, and V the volume in cm^3, so the function of V in terms of h that allows to
find the height of the cone that generates the maximum volume of the paper cup is?
-15mh
Oo) V' (A) –
V225 –
- 2nh
Ob) V' (h) – 225m - 3nh
%3D
-15nh
Oc) V' (h) -
V25 – A
Od V' (A) = 75 – nh?
Transcribed Image Text:You want to design a paper cup in the shape of a right circular cone, so that its generatrix has a length of 15 cm and whose radius of the base in centimeters is r. h h is the height, and V the volume in cm^3, so the function of V in terms of h that allows to find the height of the cone that generates the maximum volume of the paper cup is? -15mh Oo) V' (A) – V225 – - 2nh Ob) V' (h) – 225m - 3nh %3D -15nh Oc) V' (h) - V25 – A Od V' (A) = 75 – nh?
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