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A hollow cylindrical pipe is $21 dm$ long. Its outer and inner diameters are $10 cm$ and $6 cm$ respectively. Find the volume of the copper used in making the pipe.

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45638

c m 3

10560

c m 3

12339

c m 3

56789

c m 3

answer is B.

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Detailed Solution

It is given a hollow cylindrical pipe of length 21dm and its outer and inner diameters are 10 cm and 6 cm.
Radius

= D i a m e t e r 2

So,
Outer radius (R) is,

R = 102 ⇒ R = 5 cm

Inner radius(r) is,

r = 62 ⇒ r = 3 c m

Height of hollow cylinder = 21 dm
We know,1 dm = 10

cm

So, height of hollow cylinder

h = 21 × 10 ⇒ h = 210 c m

Volume =

π R 2 − r 2 h

⇒ V = 227 × 52 − 32 × 210

⇒ V = 660 25 − 9

⇒ V = 660 × 16

⇒ V

=10560

c m 3

Therefore, the volume of the copper used in making the pipe is

10560 c m 3

.
Hence option (2) is correct.

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