Let a be a positive real value. a right circular cylinder has radius 3ax cm, and the height of the cylinder is of the radius. Write a function of x called V (x) that describes the volume of the cylinder in cubic centimeters. Write a function of x called S (x) that describes the surface area of the cylinder in square centimeters. a. Draw a picture of the cylinder, labeling the dimensions. b. Write the function that describes the volume. c. Write the function that describes the surface area.

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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Let a be a positive real value. a right circular cylinder has radius 3ax cm, and the height of the
cylinder is
of the radius. Write a function of x called V (x) that describes the volume of the
cylinder in cubic centimeters. Write a function of x called S (x) that describes the surface area
of the cylinder in square centimeters.
a. Draw a picture of the cylinder, labeling the dimensions.
b. Write the function that describes the volume.
c. Write the function that describes the surface area.
Transcribed Image Text:Let a be a positive real value. a right circular cylinder has radius 3ax cm, and the height of the cylinder is of the radius. Write a function of x called V (x) that describes the volume of the cylinder in cubic centimeters. Write a function of x called S (x) that describes the surface area of the cylinder in square centimeters. a. Draw a picture of the cylinder, labeling the dimensions. b. Write the function that describes the volume. c. Write the function that describes the surface area.
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