Question

If the radius of a cone is half of the radius of cylinder and it's height is double to that of cylinder.Show that it's volume is 1/6 volume of cylinder

Answer 1

Answer:

Step-by-step explanation:

Let us take radius of cylinder = x.

According to the question the radius of the cone would be r/2.

Similarly we can take the height of cone as h . A.T.Q then the height of cone would be 2h.

Volume of cylinder = pi r square h

= pi r2 h square

Volume of cone

= 1/3 pi r square h

= 1/3 pi r/2 whole square into 2h

=1/3 pi rsquare/4 into 2h

=1/3 pi r square / 2 into h

( the denominator 4 simplifed into 2 by the coeffecient of x )

= 1/6 pi r square h

By dividing u get the answer