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14 vote

If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

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If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
1). 48 cm
2). 24 cm
3). 8 cm
4). 12 cm

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1 answers

18 vote
Answered by on | Votes 18 |

Volume of cylinder = πr²h

 

 

Given,

 

Radius of cylinder is = 4cm

Height of cylinder is = 8cm

 

 

Put the given values

 

⟼ ⅓ × π × (4)² × h' = π × ( 4)² × 8

 

⟼ 16 h' = 384

 

h = 24

Hence, height of cone the cone is = 24cm.

 

 

Option (B) is correct.

Accepted Answer

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