Question

a triangle is formed by the x axis the 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.

Answer 1

Figure out how high the cone is. That's the y-intercept, where x = 0. (Set x = 0 and solve for y).
Figure out the radius of the cone's base. That's the (absolute value of the) x-intercept, where y = 0.

Volume of a cone is (1/3)pi*r^2*h

Answer 2

what is the answer? @CO_oLBoY

Answer 3

\[\frac{ \pi }{ 3 } a\]

Answer 4

how?

Answer 5

y=ax+b

and a=-b or b=-a

so,

y=ax-a

y=a(x-1)

Answer 6

then?

Answer 7

@CO_oLBoY

Answer 8

y = 0
then
x = 1 = r
V = (1/3)*pi*1*a
= (pi /3) a

Answer 9

ok but why x=r?

Answer 10

coz it was rotating around y-axis hence making radius x

Answer 11

and why h=a?

Answer 12

coz its on y

Answer 13

mmm ok ty @CO_oLBoY

Answer 14

yw