Quantitative Aptitude Ques 2069
Question: The radius of a right circular cone is 3 cm and its height is 4 cm. The total surface area of the cone is
Options:
A) $ 48.4cm^{2} $
B) $ 64.4cm^{2} $
C) $ 96.4cm^{2} $
D) $ 75.4cm^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
- Given, radius of cone $ r=3cm $ height of cone $ h=4cm $ Slant height $ l=\sqrt{r^{2}+h^{2}} $ $ =\sqrt{3^{2}+4^{2}}=\sqrt{25}=5cm $
$ \therefore $ Total surface area of cone $ =\pi r(l+r) $ $ =3.14\times 3(5+3) $ $ =3.14\times 24=75.36cm^{2} $ $ =75.4cm^{2} $