7. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained
Q : 8 If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
When a right-angled triangle is revolved about the perpendicular side, a cone is formed whose,
Height of the cone = Length of the axis=
Base radius of the cone =
And, Slant height of the cone =
We know,
The volume of a cone =
The required volume of the cone formed =
Now, Ratio of the volumes of the two solids =
Therefore, the required ratio is