SOLUTION: 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

Algebra ->  Volume -> SOLUTION: 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       Log On


   



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) About Me  (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, v=%281%2F3%29h%2Api%2Ar%5E2,:
v=%281%2F3%296pi%2A4%5E2%5D%0D%0A%7B%7B%7B2pi%2A16
highlight%2832pi%29.