Concept explainers
To find: The volume of the space inside the cylinder but outside the double cone.
Answer to Problem 27WE
Volume of space inside the cylinder but outside the double cone is
Explanation of Solution
Given information:
The doubled cone is inscribed in a cylinder.
Calculation:
The volume of cylinder is given by
And, volume of cone is given by,
Since, the double cone is inscribed in the cylinder with radius r. Therefore,
Radius of the cone will be same as cylinder that is r and height will be r.
Since, radius of the cylinder is
Therefore, volume of the cylinder is
Also, radius of cone is r and its height is r.
Therefore, volume of two cone is
Therefore, volume of space inside the cylinder but outside the double cone is given by
Hence,
Volume of space inside the cylinder but outside the double cone is
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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