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* Claim: The Surface Area of a right circular cone is equal to πrs + πr2, where r is the radius of the cone and s is the slant height equal to Proof: The πr2 refers to the area of the base of the cone, which is a circle of radius r. The rest of the formula can be derived as follows. Cut n slices from the vertex of the cone to points evenly spread along its base. Using a large enough value for n causes these slices to yield a number of triangles, each with a width dC and a height s, which is the slant height. The number of triangles multiplied by dC yields C = 2πr, the circumference of the circle. Integrate the area of each triangle, with respect to its base, dC, to obtain the lateral surface area of the cone, A.

Thus, the total surface area of the cone is equal to

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Q: What is a surface area of a cone?
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Related questions

The surface area formula for a right cone is the same as the surface area formula for an oblique cone?

False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.


Surface area of a right cone?

The surface area of a right cone is the amount of square units that is needed to cover the surface of a cone. To find a surface area of a right cone , follow this formula S.A = 3.14rl + 3.14r(r) I hope it helped you.


Which has a smaller surface area - cone or sphere?

cone


Can a cone and a cylinder have the same surface area?

Of course they can. The cone would have to be taller or have a wider base than the cylinder, but they could very easily have the same surface area. A cone and a fish can have the same surface area.


How do you find the surface area of a cone?

A cone has two surfaces, lateral surface and its circular surface at the base.The surface area of a cone is the sum of the areas of these two surfaces, i.e. (1) area of the lateral surface and (2) area of its base.Let us consider a right circular cone to find its surface area.The lateral surface area of a right circular cone is π r lwhere,r is the radius of the circle at the bottom of the cone, andl is the lateral height of the coneThe surface area of the bottom circle of a cone is the same as for any circle, π r2Thus the total surface area of a right circular cone is: π r l + πr2 OR π r (l + r)


A right circular cone has radius 5cm and height 8cm Find the lateral surface area of cone?

This cone has a lateral surface area of approximately 226.73cm2


What is the surface area of this cone Use π 3.14 and round your answer to the nearest hundredth 8 in 4 in square inchesWhat is the surface area of this coWhat is the surface area of this cone?

What is the surface area of this cone? Use π ≈ 3.14, and round your answer to the nearest hundredth. 8 in 4 in square inches


Formula for area of cone?

Curved surface area of a cone = pi*radius*slant length


Suface area of cone?

Curved surface area of a cone = pi*radiud*length of slant


You cannot use the surface area formula for a right cone to find the surface area of an oblique cone.?

True. This is because the slant height of an oblique cone cannot be defined.


What is the surface area of a cone if the height is 21 and the diameter is 19?

The surface area of a cone if the height is 21 and the diameter is 19 is 971.43 units2


What is the surface area of a right cone with the radius of the base 6 feet and the height of the cone 8 feet?

Surface area is 188.5 feet2