What is the appropriate total surface area of a right circular cone of height 14 cm and base radius 7 cm? [IBPS (PO/MT) 2015] |
A) 510
B) 511
C) 490
D) 505
E) 499
Correct Answer: E
Solution :
Height of cone, \[h=14\,\,cm,\]Radius of cone, \[r=7\,\,cm\] |
\[\therefore \]Slant height, \[l=\sqrt{{{h}^{2}}+{{r}^{2}}}=\sqrt{{{14}^{2}}+{{7}^{2}}}\] |
\[=\sqrt{196+49}=\sqrt{245}=15.65\] |
So, total surface area of cone \[=\pi r\,\,(l+r)\] |
\[=\frac{22}{7}\times 7(15.65+7)\approx 499\] |
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