Fig. Q3a Given that the surface area of the can is 192n cm² show that the volume of the can, V cm³, is given by: V V 96mr ar ii Find the value of r for which V is stationary. iii Justify that the value of r found in part (ii) gives the maximum value for V. iv Calculate the maximum value of V

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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The figure below (Fig. Q3a) shows a closed cylindrical car
of radius r cm and height h cm.
Fig. Q3a
Given that the surface area of the can is
192m cm2 show that the volume of the can, V
cm, is given by:
96T
!!
Find the value of r for which V is stationary.
Justify that the value of r found in part (i) gives the
maximum value for V.
iv
Calculate the maximum value of V
Transcribed Image Text:The figure below (Fig. Q3a) shows a closed cylindrical car of radius r cm and height h cm. Fig. Q3a Given that the surface area of the can is 192m cm2 show that the volume of the can, V cm, is given by: 96T !! Find the value of r for which V is stationary. Justify that the value of r found in part (i) gives the maximum value for V. iv Calculate the maximum value of V
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