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Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of its circular ends. Suppose the container has radius r cm, height h cm and a capacity of 1500cm3. - Express the surface area A in terms of π and r. - Find the value of r (correct to 22 decimal places), for which A is stationary.  - Calculate the maximum value of A correct to 22 decimal places.

Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of its circular ends. Suppose the container has radius r cm, height h cm and a capacity of 1500cm3. - Express the surface area A in terms of π and r. - Find the value of r (correct to 22 decimal places), for which A is stationary.  - Calculate the maximum value of A correct to 22 decimal places.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of its circular ends.

Suppose the container has radius r cm, height h cm and a capacity of 1500cm3.

- Express the surface area A in terms of π and r.

- Find the value of r (correct to 22 decimal places), for which A is stationary. 

- Calculate the maximum value of A correct to 22 decimal places.

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