Find the lateral area of this cone.
2 answers:
Given:
Radius of the base of the cone = 12 in.
The slant height of the cone = 15 in.
To find:
The lateral surface area of the given cone.
Solution:
The lateral surface area of the cone is:
Where, r is the radius of the base of the cone and h is the slant height of the cone.
Putting , we get
The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.
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Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
