Answer:
The volume of the solid generated is 52.33 cubic units.
Step-by-step explanation:
Given the triangle ABC
If the ABC triangle is rotated around AB, it would generate a circular cone. The volume of the generated cone can be computed using the following formula.
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
From the given triangle,
So,
Putting these values in [tex]V=\frac{1}{3}\pi r^{2} h[/tex] would yield the volume of a circular cone.
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
[tex]V=\frac{1}{3}(3.14) (5)^{2} (2)[/tex]
[tex]V=52.33[/tex]
Therefore, the volume of the solid generated is 52.33 cubic units.
Keywords: triangle, volume, solid, right circular cone
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