SOLUTION: The height of the cone is 6 cm. The angle at the vertex of its axial section is . Find the surface area of the cone. thank you so much for your response

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Question 798298: The height of the cone is 6 cm. The angle at the vertex of its axial section is . Find the surface area of the cone. thank you so much for your response
Answer by Alan3354(69443) About Me  (Show Source):
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The height of the cone is 6 cm. The angle at the vertex of its axial section is . Find the surface area of the cone.
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2A = angle
Slant height = 6/cos(A) = 6sec(A)
Lateral area = pi*SH = 6pi*sec(A)
Area of base = pi*r^2 = 9*pi