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Volume and Surface Area
What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
344.35 cm2
462 cm2
498.35 cm2
None of these
Show Answer
Correct Answer:
498.35 cm2
Explanation:
h
= 14 cm,
r
= 7 cm.
So,
l
= √(7)
2
+ (14)
2
= √245 = 7√5 cm.
∴ Total surface area
= Π
rl
+ Π
r
2
=
❨
22
x 7 x 7√5 +
22
x 7 x 7
❩cm
2
7
7
= [154(√5 + 1)] cm
2
= (154 x 3.236) cm
2
= 498.35 cm
2
.
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