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} $