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26 August, 03:11

How does the volume of a cone change when the radius is quadrupled and the height id reduced to 1/5 of the original size?

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  1. 26 August, 06:51
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    The volume (V) of the cone is one-third of the product of its height (h) and area (A).

    V = A x h = πr²h

    Now, if the radius is quadrupled and the height is reduced to 1/5, the equation will be,

    V2 = π (4r) ² (1/5 h) = π (3.2) r²h

    Thus, the second volume would be 3.2 time the first volume.
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