Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
1 answer:
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere =
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x
x
= x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
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- In the second segment, the line is constant (it's horizontal). This means that even if you consider a larger input, the output reimains the same
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