Question 876490: find the points of intersection of the line 2x+3y=12 with the x-axis and the y axis are the endpoints of a segment. to the nearest hundredth, what is the volume of the cone formed by rotating the segment around the x axis
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website! y=0, 2x=12, x=6.
x=0, 3y=12, y=4.
Axis intercept points are (6,0) and (0,4).
Rotating according to the description around x axis, cone radius is 4, h=6, and volume of the cone, ,:

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