The bottom face is a circle of area pi*r^2 = pi*5^2 = 25pi square feet
The lateral surface area is pi*r*L = pi*5*13 = 65pi square feet
Those two areas combine to 25pi+65pi = 90pi square feet
The surface area of the cone is 65π square ft or 65π ft² option (D) 65π ft² is correct if the radius of the cone base is 5 ft and the slant height is 13 ft.
It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]
We have a cone shown in the picture.
The radius of the cone r = 5 ft
The slant height l = 13 ft
As we know, the lateral surface is given by:
S = πrl
Here,
S is the surface area
r is the radius of the cone base
l is the slant height.
S = π(5)(13)
S = 65π square ft
Thus, the surface area of the cone is 65π square ft or 65π ft² option (D) 65π ft² is correct if the radius of the cone base is 5 ft and the slant height is 13 ft.
Learn more about the cone here:
brainly.com/question/16394302
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