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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
