The C.S.A of a cone is 550 cm2 whose height is 24cm. Find the volume of the cone.
C.S.A of cone =550cm2
∴ πrl=550
πr√h2+r2=550
227×r√5762+r2=550
r√5762+r2=550×722
r√5762+r2=175
Now r=7 satisfies the equation
∴ Volume =13πr2h
13×227×7×7×24
=154×8cm3
Volume =1232cm3