Question

if V is the volume of cone of radius R and v one is the volume of cone when the radius is doubled then

a)v=4v1 b) v=2v1 c)v1=2v d)v1=4v​

Answer 1

Answer:

let the Height of the cone=h am

Radius of the cone=r cm

Then volume of the cone=

3

1

πr

2

h

If the height and radius are double then

Height=2h

Radius=2r

Then new volume=

3

1

π(2r)

2

×2h

⇒

3

1

π×4r×2h=8×

3

1

πr

2

h

Hence it is 8 times of the old volume