Question

If the height and radius of a cone of volume V are doubled, then the volume of the cone, is

(a) 3 V

(b) 4 V

(c) 6 V

(d) 8 V

Answer 1

The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as

Volume of cone = = V

Since it is given that the radius and height are doubled we have the radius as ‘2r’ and the vertical height as ‘2h’

So now,

Volume of modified cone =

=

= 8V

Hence the correct answer is option (d).