Question

A solid metal cone with radius of base 12cm and height 24cm is melted to form solid spherical balls of diameter 6cm each . Find the number of balls thus formed​

Answer 1

Answer:

Answer

Volume of cone=

3

1

πr

2

h

Here, for cone r=12,h=24

=

3

1

×π×12

2

×24=

3

1

×π×144×24

=1152πcm

2

Volume of balls(sphere) =

3

4

πr

3

Here, for ball r=

2

6

=3

3

4

π×3

3

=36π

No. of balls=

36π

1152π

=32

Thus 32 balls will be formed.

Answer 2

Answer:

Volume of cone=

3

1

πr

2

h

Here, for cone r=12,h=24

=

3

1

×π×12

2

×24=

3

1

×π×144×24

=1152πcm

2

Volume of balls(sphere) =

3

4

πr

3

Here, for ball r=

2

6

=3

3

4

π×3

3

=36π

No. of balls=

36π

1152π

=32

Thus 32 balls will be formed.