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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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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.
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.
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
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
