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 $
BETA
