A cylinder has a circular cross section that is parallel to its base.
The cross section of a sphere is most often a circle. When the cross section is taken parallel to the base of a cylinder, it is also a circle.
The area of a cross section of a cylinder that is parallel to its base is equal to the area of the base. In this case, the base of the cylinder is a circle with a radius of 8 inches. Therefore, the area of the cross section is 64pi square inches.
Sphere
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
A cylinder has a circular cross section that is parallel to its base.
It will be one of:a triangle if where the cross section cuts the base is through two adjacent sides;an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; ora trapezium if where the is the cross section cuts the base is parallel to a side of the base.
A hexagon.
The cross section of a sphere is most often a circle. When the cross section is taken parallel to the base of a cylinder, it is also a circle.
The area of a cross section of a cylinder that is parallel to its base is equal to the area of the base. In this case, the base of the cylinder is a circle with a radius of 8 inches. Therefore, the area of the cross section is 64pi square inches.
Sphere
Triangular
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
A rectangle.
It is a horizontal cross-section. Its shape will depend on the shape of the solid and its orientation.
Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex
From the square base to the circular top at height h, assuming that the base and top planes are parallel, and letting base side = s and top radius = r: Volume = ½h(s2 + pi r2)