Quantitative Aptitude Ques 1773

Question: Shantanu’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 5 such caps.

Options:

A) $ 5000cm^{2} $

B) $ 2750cm^{2} $

C) $ 3000cm^{2} $

D) $ 2700cm^{2} $

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Here, $ r=7cm $ and $ h=24cm $ Slant height $ (l)=\sqrt{r^{2}+h^{2}} $ $ =\sqrt{7^{2}+24^{2}} $ $ =\sqrt{49+576} $ $ =\sqrt{625}=25cm $ Curved surface area $ =\pi rl $ $ =\frac{22}{7}\times 7\times 25=550cm^{2} $

$ \therefore $ Area of 5 caps $ =550\times 5 $ $ =2750cm^{2} $

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