The external and internal radii a hollow tube are 6cm and 5 cm respectively find the volume of material used in making the tube if the tube is 24 cm long
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Step-by-step explanation:
Correct option is
A
16
We have,
l=40 cm
r=4 cm
R=12 cm
We know that the volume of the hollow cylinder
=π(R
2
−r
2
)h
So,
=π(12
2
−4
2
)×40
=π(144−16)×40
=π(128)×40 cm
3
Since, this hollow cylinder pipe is melted and cast into a solid cylinder which length is 20 cm and let the radius be r
So,
πr
2
×20=π(128)×40
r
2
=128×2
r
2
=256
r=16 cm
Hence, this is the answer.
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