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} $

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