The cone pictured has a surface area of___ square meters. (Use 3.14 for π .)

The area of the base is
.. A = πr^2
The lateral area is
.. A = πrh . . . . . where h is the slant height
The total area is
.. π(r^2 +rh) = πr(r +h)

total surface area = 3.14*(5 m)*(5 m +11 m) = 251.2 m²

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ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-06-04T08:59:09+02:00

The Surface area of cone in given image whose radius is 5 m and height is 11 m. is 268.47 sq. meters.

What is Surface area of Cone?

The surface area of a cone is the total area occupied by its surface in a 3D plane. The total surface area will be equal to the sum of its curved surface area and circular base area.

Surface area of cone = πr(r + l)

where, r is radius of cone, l is slant height of the cone and h is height of cone.

Here, r = 5m h = 11m , then l = 12.1 m (by pythagoras theorem)

Now, Surface area of cone = πr(r + l)

S = 3.14 X 5 ( 5 + 12.1 )

S = 15.7 ( 17.1 )

S = 15.7 X 17.1

S = 268.47 sq. meters

Thus, the Surface area of cone in given image whose radius is 5 m and height is 11 m. is 268.47 sq. meters.

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