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  2. Graduated cylinder - Wikipedia

    en.wikipedia.org/wiki/Graduated_cylinder

    Different types of graduated cylinder: 10mL, 25mL, 50mL and 100mL graduated cylinder. A graduated cylinder, also known as a measuring cylinder or mixing cylinder, is a common piece of laboratory equipment used to measure the volume of a liquid. It has a narrow cylindrical shape. Each marked line on the graduated cylinder represents the amount ...

  3. On the Sphere and Cylinder - Wikipedia

    en.wikipedia.org/wiki/On_the_Sphere_and_Cylinder

    On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a treatise that was published by Archimedes in two volumes c. 225 BCE. [1] It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so. [2]

  4. Displacement (fluid) - Wikipedia

    en.wikipedia.org/wiki/Displacement_(fluid)

    Measurement of volume by displacement, (a) before and (b) after an object has been submerged. The amount by which the liquid rises in the cylinder (∆V) is equal to the volume of the object. In fluid mechanics, displacement occurs when an object is largely immersed in a fluid, pushing it out of the way and taking its place. The volume of the ...

  5. Shell integration - Wikipedia

    en.wikipedia.org/wiki/Shell_integration

    Much more work is needed to find the volume if we use disc integration. First, we would need to solve y = 8 ( x − 1 ) 2 ( x − 2 ) 2 {\displaystyle y=8(x-1)^{2}(x-2)^{2}} for x . Next, because the volume is hollow in the middle, we would need two functions: one that defined an outer solid and one that defined the inner hollow.

  6. Volume - Wikipedia

    en.wikipedia.org/wiki/Volume

    Some SI units of volume to scale and approximate corresponding mass of water. To ease calculations, a unit of volume is equal to the volume occupied by a unit cube (with a side length of one). Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3).

  7. Napkin ring problem - Wikipedia

    en.wikipedia.org/wiki/Napkin_ring_problem

    The two effects exactly cancel each other out. In the extreme case of the smallest possible sphere, the cylinder vanishes (its radius becomes zero) and the height equals the diameter of the sphere. In this case the volume of the band is the volume of the whole sphere, which matches the formula given above.

  8. Mohr pipette - Wikipedia

    en.wikipedia.org/wiki/Mohr_pipette

    A Mohr pipette, also known as a graduated pipette, is a type of pipette used to measure the volume of the liquid dispensed, although not as accurately as a volumetric pipette. [1] These use a series of marked lines (as on a graduated cylinder) to indicate the different volumes. [ 2 ]

  9. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    piston pin velocity (upward from crank center along cylinder bore centerline) a {\displaystyle a} piston pin acceleration (upward from crank center along cylinder bore centerline) ω {\displaystyle \omega } crank angular velocity (in the same direction/sense as crank angle A {\displaystyle A} )