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A cylindrical tube opened at both the ends is made of iron sheet which is $2 cm$ thick. If the outer diameter is $16 cm$ and its length is $100 cm$ , then find how many cubic centimeters of iron has been used in making the tube?

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8100 cm 3

8800 cm 3

8200 cm 3

8700 cm 3

answer is B.

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Detailed Solution

Given- thickness is 2cm, outer diameter is

16 cm

and its length is

100 cm

.
Outer diameter is 16cm.
So the outer radius is 8cm.
As a result, outer radius will be
Outer radius(R) = inner radius(r) + thickness
Therefore,

Inner radius = outer radius − thickness = 8 − 2 = 6 cm

Therefore,
Question Image

Thus, the volume of iron used is

8800 cm 3

.
Hence, option 2 is the correct option.

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