I. 6 cm The can in the illustration at the bottom of the previous page has a total surface area of 396a and a radius of 6. A. Give the exact height of the can. B. Calculate the volume of the can in the illustration. C. In order to determine whether it is possible to construct a can with the same total surface area but a greater volume, it would be useful to have a model function for all possible (radius, volume) data pairs. Give what you think is an appropriate closed interval context domain for this model function.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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I.
6 cm
The can in the illustration at the bottom of the previous page has a total surface area of
396n and a radius of 6.
A. Give the exact height of the can.
B. Calculate the volume of the can in the illustration.
C. In order to determine whether it is possible to construct a can with the same
total surface area but a greater volume, it would be useful to have a model
function for all possible (radius, volume) data pairs. Give what you think is an
appropriate closed interval context domain for this model function.
Transcribed Image Text:I. 6 cm The can in the illustration at the bottom of the previous page has a total surface area of 396n and a radius of 6. A. Give the exact height of the can. B. Calculate the volume of the can in the illustration. C. In order to determine whether it is possible to construct a can with the same total surface area but a greater volume, it would be useful to have a model function for all possible (radius, volume) data pairs. Give what you think is an appropriate closed interval context domain for this model function.
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