To find: The dimensions of a right circular cylinder. Also, find the maximum volume.
Answer to Problem 22E
Dimensions of a right circular cylinder is
Explanation of Solution
Given information:
Radius of a sphere is 10 cm.
Concept used: The maximum value of the function
Calculation:
Consider the radius of the base as
From the given statement, write the expression for
The volume of a cylinder (V) for the given condition is written as shown below.
Differentiate the obtained function with respect to
Equate the obtained derivative to 0 and solve for
Note that the value of
So,
Now, differentiate the equation,
Substitute
Since at
Now, substitute
So, the dimensions of a right circular cylinder is
Now, find the required volume which is calculated as shown below.
Chapter 4 Solutions
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