true
No, it is not true.
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 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.
FIrst we need to know what the object is? Perhaps you mean a cone or a cylinder?
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.
true
True. (Apex)
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
Wrong, it's True. (Apex)
Calculate them and compare.
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
No, it is not true.
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).
False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.
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.
It is possible for some cones A and cylinders B. But in general, the assertion is false.