$\"\"$

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Height of the circular cone is $\"\"$ and its base radius is $\"\"$ .

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Draw the view of the cone with height $\"\"$ and radius $\"\"$ is on the $\"\"$ axis.

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$\"\"$

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Find the equation of the side of the cone , which is in slope-intercept form $\"\"$ .

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Where $\"\"$ and $\"\"$ .

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Observe the figure,

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Slope of the line is $\"\"$

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$\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Use disk method to find the volume of the cone.

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Here rotation is about $\"\"$ axis.

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$\"\"$ , $\"\"$ .

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$\"\"$ .

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Volume of the the right circular cone is $\"\"$ .

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$\"\"$

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Volume of the the right circular cone is $\"\"$ .