A manufacturer designs a cylindrical can with no top. The surface area of the can is 479 cm. The can has base radius r
A manufacturer designs a cylindrical can with no top. The surface area of the can is 479 cm. The can has base radius r centimetres. a) Write a polynomial function to model the capacity, C cubic centimetres, of the can as a function of r. b) Graph the function. To the nearest tenth of a centimetre, what are the radius and height of the can when it has a maximum capacity? a) Write a polynomial function to model the capacity, C cubic centimetres, of the can as a function of r. C(r) = (Simplify your answer. Type an exact answer, using it as needed.) b) Graph C(r). Choose the correct graph below. A. Q B. C. Q (Each graph is shown in a [-20,20,2] by [-150,1500,150] viewing window.) When the can has a maximum capacity, the radius is approximately (Give your answer to the nearest tenth.) cm When the can has a maximum capacity, the height is approximately cm. (Give your answer to the nearest tenth.) D. Q
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Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
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