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    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/02%3A_Moments_of_Inertia/2.06%3A_Three-dimensional_Solid_Figures._Spheres_Cylinders_Cones.
      Its moment of inertia about the dashed axis through the centre of the cylinder is ma2δx8l+mδx2lx2=m(a2+4x2)δx8l. The moment of inertia ...Its moment of inertia about the dashed axis through the centre of the cylinder is ma2δx8l+mδx2lx2=m(a2+4x2)δx8l. The moment of inertia of the entire cylinder about the dashed axis is 210m(a2+4x2)δx8l=m(14a2+13l2).
    • https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.19%3A_Pyramids_and_Cones
      You may be able to determine the height h of a cone (the altitude from the apex, perpendicular to the base), or the slant height l (which is the length from the apex to the edge of the circula...You may be able to determine the height h of a cone (the altitude from the apex, perpendicular to the base), or the slant height l (which is the length from the apex to the edge of the circular base). Just as the volume of a pyramid is 13 the volume of a prism with the same base and height, the volume of a cone is 13 the volume of a cylinder with the same base and height.
    • https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/02%3A_Conic_Sections/2.06%3A_The_General_Conic_Section
      Thus if x is first replaced with x+ˉg/ˉc and y with y+ˉf/ˉc, and then the new x is replaced with x \cos θ − y \sin θ and the new y with \(x \sin θ...Thus if x is first replaced with x + \bar{g} / \bar{c} and y with y + \bar{f}/\bar{c}, and then the new x is replaced with x \cos θ − y \sin θ and the new y with x \sin θ + y \cos θ, the Equation will take the familiar form of a conic section with its major or transverse axis coincident with the x axis and its centre at the origin.
    • https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.19%3A_Pyramids_and_Cones
      You may be able to determine the height h of a cone (the altitude from the apex, perpendicular to the base), or the slant height l (which is the length from the apex to the edge of the circula...You may be able to determine the height h of a cone (the altitude from the apex, perpendicular to the base), or the slant height l (which is the length from the apex to the edge of the circular base). Just as the volume of a pyramid is \dfrac{1}{3} the volume of a prism with the same base and height, the volume of a cone is \dfrac{1}{3} the volume of a cylinder with the same base and height.

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