a hollow cylindrical tube open at both ends is made of iron 3 cm thick. if the external diameter be 56 cm n the length of the tube be 182 cm, find the number of cubic cm in it.
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Answered by
334
Given, thickness of iron =3cm
external diameter = 56cm
Length of tube = 182cm
We know,
volume of hollow cylinder = πh(R²−r²)
∴ internal diameter = external diameter−2×thickness of iron
= 56−2×3
= 56−6
= 50cm
=> Outer radius(R) = 56÷2 = 28cm
inner radius(r) = 50÷2 = 25cm
∴ Volume of hollow cylinder = πh(R²−r²)
= 3.14×182(28²−25²)
= 3.14×82×159
= 90865.32cm³ Answer
please see the attachment for diagram of cylinder mentioned in the question.
external diameter = 56cm
Length of tube = 182cm
We know,
volume of hollow cylinder = πh(R²−r²)
∴ internal diameter = external diameter−2×thickness of iron
= 56−2×3
= 56−6
= 50cm
=> Outer radius(R) = 56÷2 = 28cm
inner radius(r) = 50÷2 = 25cm
∴ Volume of hollow cylinder = πh(R²−r²)
= 3.14×182(28²−25²)
= 3.14×82×159
= 90865.32cm³ Answer
please see the attachment for diagram of cylinder mentioned in the question.
Attachments:
Answered by
86
Answer:
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