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Q: How is the surface area of a cone and cylinder similar?
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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.


The lateral surface area of cone A is equal to the lateral surface area of cylinder B?

true


The cone and the cylinder below have equal surface area.?

True. (Apex)


Is the lateral surface area of cone is always one-third of cylinder's?

No, it never can equal one third of the lateral surface area:If the base of the cylinder and cone has radius r, and the height of the cone and cylinder has height h, then:Lateral surface area of a cone = πr√(r2+h2)Lateral surface area of a cylinder = 2πrhThe lateral surface area of a cone equals one third the lateral surface area of a cone when:πr√(r2+h2) = 1/3 x 2πrh⇒ √(r2+h2) = 2/3h⇒ r2+h2 = 4/9h2⇒ r2 = -5/9h2But a square number can never be negative, so this is impossible.However, the volume of a cone is one third the volume of the cylinder with the same radius r and height h:Volume cone = 1/3πr2hVolume cylinder = πr2h


The lateral surface area of cone A is exactly the lateral surface area of cylinder B?

Wrong, it's True. (Apex)


How do you find whether a cone and a cylinder have equal surface area?

Calculate them and compare.


What are everyday uses for pi?

Some of many examples are:- Finding the circumference of a circle Finding the area of a circle Finding the surface area of a sphere Finding the volume of a sphere Finding the surface area of a cylinder Finding the volume of a cylinder Finding the volume of a cone Finding the surface area of a cone


Is it true that the lateral area of the cone is exactly 12 the literal surface area of cylinder B?

No, it is not true.


How do you find surface area of a cylinder mounted by a cone?

pi x radius^2


Why is the curved surface of cone not 2pi x r x l?

Because 2Pi x r x L is the curved surface of a cylinder. Clearly a cylinder have more surface area than a cone of same height and radius. The surface of the cone is Pi x r x S where S is the slope length, so the cylinder has approximately double the surface area (note S is longer than L).


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.


What- is-the-relationship-between-cylinders'-cones'-and-spheres'-surface area?

The relationship between the surface areas of cylinders, cones, and spheres is that the surface area of a cylinder is equal to the sum of the areas of its two circular bases and its curved surface area, the surface area of a cone is equal to the sum of the area of its circular base and its curved surface area, and the surface area of a sphere is equal to four times the area of its circular base.