Question

A spherical canon ball, 14 cm in diameter is melted and recast into a right circular conical mould, the base of which is 28 cm in diameter. Find the height of the cone.

Answer 1

Answer:

Solution

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Radius of cannon ball =14 cm

Volume of cannon ball=

3

4πr

3

Radius of conical mould=

2

35

cm

Volume of conical mould=

3

1

πr

2

h

Since material of cannon ball is used to make right circular mould, Hence

⟹

Volumeofsphere=volumeofcone

3

4

πr

3

=

3

1

πr

2

h

4×14×14×14=

2

35

×

2

35

×h

h=

35×35

4×2×2×14×14×14

h=35.84cm

Answer 2

conical mould, the base of which is 28 cm in diameter. Find the height of the cone.

2nd one is the shortcut method