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

Options:
A .  344.35 cm2
B .  462 cm2
C .  498.35 cm2
D .  None of these
Answer: Option C

h = 14 cm, r = 7 cm.


So, l = (7)2 + (14)2 = 245 = 75 cm.


So, Total surface area = \(\pi rl+\pi r^{2}\)


= \(\left(\frac{22}{7}\times7\times75+\frac{22}{7}\times7\times7\right)cm^{2}\)


= [154(5 + 1)] cm2


= (154 x 3.236) cm2


= 498.35 cm2.


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