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Derive the formula for the volume of a right circular cone with radius r and height h by revolving an appropriate region about the x-axis. Sketch the region.

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Derive the formula for the volume of a right circular cone with radius r and height h by revolving an appropriate region about the x-axis. Sketch the region.
Answered Same Day Dec 20, 2021

Solution

Robert answered on Dec 20 2021
127 Votes
Right Circular Cone
Height of cone = h radius of cone =r
Let’s consider a right triangle of height h and base r(above fig). h is along the x- axis. By revolving
this triangle around x-axis we can get a cone.
To calculate the volume of cone, let’s consider a strip of width dx from distance x...
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