a right circular cone with radius equal to 5 centimetre and height 12 cm in given . the total surface area of cone
Answers
Step-by-step explanation:
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
Answer:
radius of cone =5cm
height of cone =12cm
slant height of cone(L) = √r²+h²
√25+144= √169 =13cm
total surface area of cone = πr(L+r)
= 22/7 × 5 (13+5)
= 110/7(18)
= 1980/7cm²
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