Question

If the height of a cone is doubled and the radius is tripled ,then it's volume will become ................. . Times

Answer 1

Answer:

18 times

Step-by-step explanation:

let the original height and radius be h and r respectively.

then,. vol. of cone = 1/3r^2h

when increased,

height and radius be 2h and 3r respectively.

vol of new cone = 1/3 × (3r)^2×2h

= 1/3× 9r^2×2h

= 18× 1/3r^2h

= 18 × vol of original cone.

Therefore the vol increase by 18 times.

Answer 2

Step-by-step explanation:

let the height = 2h

let the radius =2r

then the volume of cone=31πr2h

solutions =

=13π(2r)2(2h)

=8

hence volume of cone become 8 times