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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.
The volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
Why is the curved surface of cone not 2pi x r x l when the circumference is 2 x pi x r and L is the slant height that moves through this distance?
Good question. Firstly, I'm assuming you are referring to a regular cone (i.e one with the same slope on all sides, as opposed to one where the uppermost "tip" is pushed off centre).The area 2*pi*radius* length does give you a "surface", but it is based on the base measurements of the cone - it is the surface that would be created if you were to extend the curved surface straight upwards from the base of the cone (i.e creating a cylinder, not a cone).A cone clearly has less curved surface area than a cylinder - in fact, it has half the surface area of the equivalent cylinder. So the equation is pi*radius*slant height. (i.e not 2*pi*radius*slant height).
Is the surface area the same as area?
No the area is when you are dealing with a 2-dimensional figure. Surface area formulas vary depending on if the object is a rectangular prism, a pyramid, a cone, or a triangular prism. a.k.a. the object needs to be 3-D to have a surface area.
How is a cone similar to a cylinder?
1. first halve is same, other halve not same, conie is pointie! 2.cone and cylinder all starts with the letter 'C'!
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.
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
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 volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
Is the volume of a cylinder the same as the surface area of a cylinder?
no
What is the formula of area of cone?
The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.
Can the surface area formula for a right cone is the same as the surface area formula of an oblique cone?
No, the formula is far from simple - requiring elliptical integrals.
Why is the curved surface of cone not 2pi x r x l when the circumference is 2 x pi x r and L is the slant height that moves through this distance?
Good question. Firstly, I'm assuming you are referring to a regular cone (i.e one with the same slope on all sides, as opposed to one where the uppermost "tip" is pushed off centre).The area 2*pi*radius* length does give you a "surface", but it is based on the base measurements of the cone - it is the surface that would be created if you were to extend the curved surface straight upwards from the base of the cone (i.e creating a cylinder, not a cone).A cone clearly has less curved surface area than a cylinder - in fact, it has half the surface area of the equivalent cylinder. So the equation is pi*radius*slant height. (i.e not 2*pi*radius*slant height).
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)
What happens to the cylinder's surface area if its radius is squared?
It remains the same or increases in surface area.
What kind of prism has the biggest volume if they have the same surface area?
A cylinder.
How is the volume of a cone related to the volume of the cylinder with the same radius and height?
The cone has 1/3 of the volume of the cylinder.
