Quantitative Aptitude Ques 1392

Question: If $ 1cm^{3} $ of a metal weight 28 g, then the weight of a pipe of length 2 m with a bore 5 cm and in which the thickness of the metal is 1 cm, is

Options:

A) 105.6 kg

B) 50.8 kg

C) 115.4 kg

D) 45.4 kg

Show Answer

Answer:

Correct Answer: A

Solution:

  • External radius $ =3.5cm $ Length $ =200cm $ Internal radius $ =2.5cm, $ Length $ =200cm $ External volume $ =[\pi \times {{(3.5)}^{2}}\times 200]cm $ Internal volume $ =[\pi \times {{(2.5)}^{2}}\times 200]cm $ Volume of metal $ =[\pi \times {{(3.5)}^{2}}\times 200-\pi \times {{(2.5)}^{2}}\times 200] $ $ =\pi \times 200\times [{{(3.5)}^{2}}-{{(2.5)}^{2}}] $ $ =\frac{22}{7}\times 200\times 6\times 1cm $ Weight of the metal $ =\frac{22\times 200\times 6\times 28}{7\times 1000}=105.6kg $
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