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What is the area of the cross section of a sphere that is 3 units from the center of the sphere?

The cross section at this point forms a circle and its area is pi/32 which equals 9*pi square units. * * * * * Not quite. If the radius of the sphere is R units then the radius of the cross section is sqrt(R2 - 32) Therefore the cross sectional area is pi*(R2 - 32) square units.


What does cone cylinder and a sphere have in common?

A circular cross-section.


What shape is cross section of a cone?

It depends on the angular plane of the Cross-section, to the conic axis. The conic-axis is a line from the point of the cone to the centre of a circular cross-section. #1 ; Cross section perpendicular to the acix is a CIRCLE. #2 ; Cross section angled to ther sides of the cone is an ELLIPSE #3 ; Cross section were the ends do not touch the circular face is a PARABOLA #4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA. The Cartesian Equations for each type are ;- #1 ; Circle ' x^(2) + y^(2) = 1 #2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1 #3 ; Parabola ' y^(2) = 4ax #4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1


Can a triangular prism roll?

No, a triangular prism cannot roll because it does not have a circular cross-section like a cylinder or a sphere. Rolling requires a continuous curved surface that can rotate around an axis. A triangular prism has a polygonal cross-section with flat sides, so it would slide rather than roll.


How do you find the length of a prism with the cross-section and volume?

length = volume/cross-section

Related Questions

What is the cross section of a sphere?

always a circle.


What degree in cross section of a sphere?

Every cross-section of a sphere is a circle.


What shape is the cross-section of a sphere?

A circle.


What shape is the cross section of a sphere?

A circle.


What is the cross section of a basketball?

A basketball is a sphere so a cross-section would be a circle.


What is a cross section of a basketball?

A Basketball is a sphere so a cross-section would be a circle.


What is a circle called in a solid?

A circle in a solid is called a cross-section.


What shape does the horizontal cross section of a sphere create?

A circle


What shape does vertical cross section of a sphere create?

a circle !


What are all the the cross sections of a sphere?

The cross sections of a sphere can be circular or elliptical, depending on how the plane intersects the sphere. When a plane cuts through the center of the sphere, the cross section is a circle with the same radius as the sphere. If the plane intersects the sphere at an angle or does not pass through the center, the cross section will still be a circle, but its radius will be smaller than that of the sphere. Additionally, if the plane is tangent to the sphere, the cross section reduces to a single point.


What shape has any cross- sections are circles?

any cross section of a sphere is a circle.


What do spheres and cylinders have in common?

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.