A 7 m tube of inner diameter 8 cm and outer diameter of 4 cm is made of PVC used for electrical wiring. Find the space available for filling the copper wires inside it $(π \approx \frac{22}{7})$ .

0.0264 m^{3}

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0.0154 m^{3}

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0.0528 m^{3}

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0.0464 m^{3}

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Solution

The correct option is B $0.0154 m^{3}$
Tube is in shape of hollow cylinder with
Outer diameter = 8 cm
$r_{2} = 4 c m$
Inner diameter = 4 cm
$r_{1} = 2 c m$

Length $(L)$ = 7 m = 700 cm

Volume available = Inner cylindrical volume
$= π (r_{1}^{2}) \times L = \frac{22}{7} (2^{2}) \times 700 = 15400 c m^{3} = 0.0154 m^{3}$

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