Quantitative Aptitude Ques 2163
Question: What is the approximate total surface area of a right circular cone of height 14 cm and base radius 7 cm [NICL (AO) 2014]
Options:
A) 510
B) 511
C) 490
D) 505
E) 499
Show Answer
Answer:
Correct Answer: E
Solution:
- Height of cone, h =14 cm Radius of cone, r = 7 cm
$ \therefore $ Slant height, $ l=\sqrt{h^{2}+r^{2}}=\sqrt{14^{2}+7^{2}} $ $ =\sqrt{196+49}=\sqrt{245}\approx 15.65 $ So, total surface area of cone $ =\pi r,(l+r)=\frac{22}{7}\times 7,(15.65+7)\approx 499 $