Question

A solid sphere of diametre 16 cm is melted ans recast into a number smaller cones, each other of radius 4cm ​

Answer 1

Answer:

Volume of the Spheec =

3

4

π×r

3

=

3

4

π×(

2

16

)

3

but r br the radius of the ball

8×

3

4

π×r

3

=

3

4

π×8

3

⇒8r

3

=8

3

⇒r

3

=8

2

=(2

3

)

2

⇒r

3

=(2

2

)

3

=4

3

∴r=4cm

Hence radius of the ball = 4 cm

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