(a)
To find: Compare the minimum surface areas and corresponding values of
The surface area of cylinder is less than the prism and diameter of prism is lee than the cylinder.
Given information:
Given that the ordered pair of surface area and diameter for prism is given as:
The graph of the surface area corresponding to diameter of cylinder is given as:
Calculation:
It is observed from the given data for prism the minimum surface area is 677.6 and corresponding diameter is 10.6.
It is observed from the graph that the minimum surface area of cylinder is
The surface area of cylinder is less than the prism and diameter of prism is lee than the cylinder.
(b)
To find: Compare the height that corresponds to the minimum surface area of the containers.
The height of cylinder is greater than the height of prism.
Given information:
The height of the prism is
The surface area of cylinder is
The minimum surface area of the cylinder Is
Substitute the value of diameter in equation
Further simplifying the above expression:
Substitute the value of
The height of the cylinder is 3.55 cm.
The height of prism is given by
Substitute
The height of cylinder is greater than the height of prism.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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