To find the surface area of the cone, we need to find the lateral area and the base area, and then add them together.
The lateral area of a cone is given by the formula: L = πrs, where r is the radius of the base and s is the slant height. The radius is half the diameter, so r = 14/2 = 7 inches.
The lateral area is therefore L = π(7)(20) = 140π.
The base area of a cone is given by the formula: B = πr^2, where r is the radius of the base. The radius is again 7 inches.
The base area is therefore B = π(7^2) = 49π.
The surface area of the cone is the sum of the lateral and base areas: A = L + B = 140π + 49π ≈ 461.81 square inches.
Therefore, the surface area is approximately 461.81 square inches.
Cone has diameter of 14 inches and slant height of 20 inches. Find the surface area to nearesth hundredth. With units
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