A cone has base radius 5cm, perpendicular height 12cm and slant height 13cm. Work out the surface area of the cone. Give your answer in terms of π. PLEASE ANSWER IT FAST
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Answered by
2
Answer:
The total surface area of a cone is the sum of the area of the base and the lateral area:
S
A
=
π
r
2
+
π
r
s
Where:
r = radius
s= slant height
To find the slant height consider the right triangle formed by the radius(base), the height(vertical leg) then the slant height is the hypotenuse so:
s
2
=
r
2
+
h
2
=
5
2
+
12
2
=
169
s
=
13
c
m
Thus:
S
A
=
22
7
(
25
+
5
⋅
13
)
=
1980
7
=
282
6
7
c
m
2
Answered by
3
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