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What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

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1. 

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

[A]. 344.35 cm2
[B]. 462 cm2
[C]. 498.35 cm2
[D]. None of these

Answer: Option C

Explanation:

h = 14 cm, r = 7 cm.

So, l = √(7)2 + (14)2 = √245 = 7√5 cm.

 Total surface area = rl + r2
 
= 1-sym-oparen-h1 22 x 7 x 75 + 22 x 7 x 7 1-sym-cparen-h1cm2
7 7
  = [154(5 + 1)] cm2
  = (154 x 3.236) cm2
  = 498.35 cm2.
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