Question

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius, the find the height ofthe cone.
​

Answer 1

Answer:

Radius of sphere=2r

Radius of cone=r

Volume of sphere=

3

4

π(2)

3

=

3

32

πr

3

Volume of cone=

3

1

×πr

2

h

3

πr

2

h

Given volume of sphere and cone are equal.

∴

3

32πr

3

=

3

πr

2

h

h=32r.

hope it helps..

Follow me for getting you answers quickly