(a)
To write:a function that models the volume of the cylinder in terms of x.
(a)
Answer to Problem 14CFU
Explanation of Solution
Given information: A cylinder is inscribed in a sphere with a radius of 6 units as shown.
Calculation:
Since, the cylinder is inside of a sphere, the point must be at the center of the cylinder.
Therefore,
Using Pythagorean theorem,
Plug
(b)
To write:function as a polynomial function.
(b)
Answer to Problem 14CFU
Explanation of Solution
Given information: A cylinder is inscribed in a sphere with a radius of 6 units as shown.
Calculation:
Use the part a, answer
Multiply out to make the equation polynomial
(c)
To find:volume of the cylinder if x = 4.
(c)
Answer to Problem 14CFU
Explanation of Solution
Given information: A cylinder is inscribed in a sphere with a radius of 6 units as shown.
Calculation:
Using the answer from part b
Plug in 4 for x to solve for V
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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