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In a right circular cone a line from the vertex to the center of the circular base is perpendicular to the base. In an oblique circular cone that same line will not be perpendicular.
Yes, it is true that the surface area formula for a right cone cannot be directly applied to an oblique cone. While both have a circular base and a slant height, the lack of a perpendicular height in an oblique cone affects the calculations for lateral surface area and total surface area. To find the surface area of an oblique cone, you must account for its specific geometry, typically involving more complex calculations.
No, the formula is far from simple - requiring elliptical integrals.
No, the surface area formula for a right triangle cone is not the same as that for an oblique cone, although both involve similar components. The surface area of a right cone is calculated using the formula ( SA = \pi r (r + s) ), where ( r ) is the radius and ( s ) is the slant height. In contrast, the surface area of an oblique cone also incorporates the same elements but may vary slightly due to the slant height depending on the specific dimensions of the oblique shape. Thus, while the core components are similar, the calculations can differ based on the cone's orientation.
cubed
In a right circular cone a line from the vertex to the center of the circular base is perpendicular to the base. In an oblique circular cone that same line will not be perpendicular.
False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.
If it is a right circular cone, it has an infinite number of planes of symmetry. If it is an oblique circular cone, it has one plane of symmetry.
Yes, it is true that the surface area formula for a right cone cannot be directly applied to an oblique cone. While both have a circular base and a slant height, the lack of a perpendicular height in an oblique cone affects the calculations for lateral surface area and total surface area. To find the surface area of an oblique cone, you must account for its specific geometry, typically involving more complex calculations.
True. This is because the slant height of an oblique cone cannot be defined.
No, the formula is far from simple - requiring elliptical integrals.
No
No, the surface area formula for a right triangle cone is not the same as that for an oblique cone, although both involve similar components. The surface area of a right cone is calculated using the formula ( SA = \pi r (r + s) ), where ( r ) is the radius and ( s ) is the slant height. In contrast, the surface area of an oblique cone also incorporates the same elements but may vary slightly due to the slant height depending on the specific dimensions of the oblique shape. Thus, while the core components are similar, the calculations can differ based on the cone's orientation.
cubed
A cone is a three-dimensional geometric shape with a circular base that tapers smoothly to a single point called the apex. It has one curved surface and one flat circular surface. The volume of a cone can be calculated using the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height. Cones can be right (with the apex directly above the center of the base) or oblique (where the apex is not aligned with the center).
The volume of a right circular cone with a radius of 4mm and a height of 6mm equals 140.88mm3
Volume of a cone = 1/3*base area*height