Quantitative Aptitude Ques 1194

Question: A cylinderical road roller has its length two times its base radius. If the base radius is 42 cm. How much area does it level, if it rolls once?

Options:

A) $ 22176cm^{2} $

B) $ 22374cm^{2} $

C) $ 21220cm^{2} $

D) $ 25370cm^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Here, r = 42 cm and length of the roller (h) $ =2r $ Length of the roller $ =2\times 42=84cm $ When the roller rolls cover an area equal to its curved surface area.

$ \therefore $ Required area $ =2\pi rh=2\times \frac{22}{7}\times 42\times 84 $ $ =22176cm^{2} $

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