Question

(a) Find the volume of the solid (cone) obtained by rotating the triangle with vertices (0,0), (h,0), and (0,r) along y-axis

Answer 1

\[V_c = \frac{\pi h^2 r}{3}\]

Answer 2

Formula for finding the volume of a cone = pi r^2 h /3
If the triangle is rotated along the y-axis we get, h=r and r= h...
So substituting r=h and h=r in the formula, we get,
Volume of the cone obtained =( pi h^2 r)/3