Question

If height and radius of cone is tripled find the volume of new cone and of that of original volume

Answer 1

Volume of the cone is given by v=1/3 π$r^{2}$h
If Height and radius of cone is tripled then new volume is V
∴  V=1/3π($(3r)^{2}$3h=27(1/3π$r^{2}$h
⇒V=27v
⇒V/v=27

Answer 2

let R is the radius and h is the height of cone .
volume of cone (V)=pi.R^2.h/3
when ,
radius =3R
height =3h
then
volume of new cone (V")=27pi.R^2h/3

now ,
volume of new cone =27 volume of original cone