The surface area of the cone is 384π square inches whose circumference of the base of a cone is 24π and the slant height of the cone is 20 inches.
It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
We have:
circumference of the base of a cone = 24π inches
The slant height of the cone = 20 inches
The circumference of the base circle = 2πr where r is the radius.
2πr = 24π
r = 12 inches
We know the surface area of the cone is given by:
S = πr² + πrl
Where l is the slant height of the cone
S = π(12)² + π(12)(20)
S = 144π + 240π
S = 384π square inches.
Thus, the surface area of the cone is 384π square inches.
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