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Novosadov [1.4K]
3 years ago
12

Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3

.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units
Mathematics
1 answer:
irinina [24]3 years ago
4 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

Rotating around the y-axis; solve for x. <span>y = x/3
</span><span>x = 3y
</span>
<span>Find x^2
</span><span>x^2 = 9y^2
</span>
<span>Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.
</span>
The answer is <span>81pi cubic units which is A. </span>
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