A right circular cone is 36 cm high and radius of its base is 16 cm. It is melted and recast into a right circular cone with base radius 12 cm. Find its height
Answers
Answered by
2
Let the first cone be 1
Let the recasted cone be 2
Cone 1
Radius of cone =16 cm
Height of the cone=36 cm
Cone 2
Radius of cone=12 cm
Height of the cone=?
Volume of cone =1/3*πr^2H
1/3π16^2x36=1/3π12^2xH
256x36=144xH
H=256x36/144
=64 cm
Height of the cone =64 cm
Let the recasted cone be 2
Cone 1
Radius of cone =16 cm
Height of the cone=36 cm
Cone 2
Radius of cone=12 cm
Height of the cone=?
Volume of cone =1/3*πr^2H
1/3π16^2x36=1/3π12^2xH
256x36=144xH
H=256x36/144
=64 cm
Height of the cone =64 cm
Similar questions