A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved abou

1.	A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side12 cm. Find the volume of the solid so obtained.
Answer» Let hypotenuse =13cmgiven triangle revolves around 12cmradius=5cm height=12cmvolume=1/3π×r²×Hvolume=1/3×π×5×5×12vol.=100πcm³ (nearly) second case,r=12cmh=5cmvol.=1/3×π×12×12×5vol.=240π cm³ the ratio is 100/2405:12

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side12 cm. Find the volume of the solid so obtained.

Answer»

Let hypotenuse =13cmgiven triangle revolves around 12cmradius=5cm height=12cmvolume=1/3π×r²×Hvolume=1/3×π×5×5×12vol.=100πcm³ (nearly)

second case,r=12cmh=5cmvol.=1/3×π×12×12×5vol.=240π cm³

the ratio is 100/2405:12