To find the surface area of the cone, we need to find the area of the base and the lateral surface area.
The diameter of the cone is 14 inches, so the radius is half of that, which is 7 inches.
The lateral surface area of a cone is given by the formula: LSA = πrℓ, where r is the radius and ℓ is the slant height.
Substituting the given values, we have LSA = π(7)(20) = 140π square inches.
The area of the base of the cone is given by the formula: Base Area = πr^2.
Substituting the given radius, we have Base Area = π(7)^2 = 49π square inches.
The total surface area is the sum of the lateral surface area and the base area: TSA = LSA + Base Area.
TSA = 140π + 49π = 189π square inches.
To approximate the surface area to the nearest hundredth, we can use the value of π rounded to the nearest hundredth, which is approximately equal to 3.14.
TSA ≈ 189(3.14) = 593.46 square inches.
Therefore, the surface area of the cone is approximately 593.46 square inches.
Cone has diameter of 14 inches and slant height of 20 inches. Find the surface area to nearesth hundredth. Need units.
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