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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?
- A48 cm
- B24 cm
- C8 cm
- D12 cm
Answer not set
Discussion 1
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CCommunity
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.
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.