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There are many cylinders with a height of 9 inches. Let LaTeX: rr represent the radius in inches and LaTeX: VV represents the volume in cubic inches.
a. Complete the table relating the radius and volume of cylinders with height 9 inches. Write each volume as a multiple of LaTeX: \piπ or round to the nearest cubic inch.
b. Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.
c. If a cylinder with height 9 inches and radius LaTeX: rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius LaTeX: 2r2 r fill? Explain how you know.
