A right triangle `A B C` with its dies 5cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle `A B C` is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

Explanation

when triangle is revolved along `12 cm` side
`r=5 cm`
`h=12 cm`
volume `=(1/3)pir^2h`
`=314 cm^3`
now the triangle`ABC`is revolved about side 5cm.
`r=12 cm`
`h=5 cm`
then volume `=(1/3)pir^2h`
`=753.6 cm^3`
now the ratio is
`[(1/3)pir^2h]/(1/3)pir^2h`
`5:12`