A triangle is formed by the x-axis, y-axis, and the line y = ax + b. If a = -b, then what is the volume of the cone generated by rotating this triangle around y-axis?

Question

shubhamsrg · Answer

You know the height and radius of the cone. Where are you stuck ?

anonymous · Answer

How do I know the height and the radius?

shubhamsrg · Answer

height will be distance of origin and (0,b)
radius will be distance of origin and (-b/a ,0) 

isn't it? :|

anonymous · Answer

What does the answer come out to be?

shubhamsrg · Answer

You didn;t understand what I said ?

shubhamsrg · Answer

What was your figure ? (just the triangle)

anonymous · Answer

I don't have any figure, but since the triangle is rotated around y-axis, am I right in saying that the absolute value of y-intercept is the radius and x-intercept is the radius?

shubhamsrg · Answer

y intercept is height and x intercept is radius
yes. thats what i said above

anonymous · Answer

I meant to say x-intercept = height | y-intercept = radius
However that maybe, could you tell me what is your answer?

shubhamsrg · Answer

|dw:1373454627536:dw|

it is rotated about y-axis right ? y intercept should be height ?