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

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, ,:

.
RELATED QUESTIONS
The points of intersection of the line 2x+3y=12 with the x-axis and the y-axis are the... (answered by Theo)

Find the ratio in which the Y-axis divides the line segment joining the points (5,-6) and (answered by rothauserc)

Find the area of the triangle formed by the line 4x-3y=12, the x-axis and the... (answered by solver91311)

A line intersects the y-axis, the line {{{y = 2x + 2}}}, and the x-axis at the points A,... (answered by Fombitz)

find the equation of the parabola with vertical axis that passes through the point (0,2)... (answered by Alan3354)

find the equation of a parabola with vertex on the line y=2x, axis parallel to the x-axis (answered by greenestamps)

Without plotting their graphs, find the coordinates of the points of intersection of the... (answered by Alan3354)

I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :) 1) The straight line with equation... (answered by richard1234)

What are the co-ordinates of the point of intersection of the X-axis and... (answered by richard1234)