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A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers. Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder. The figure shows both designs.Which set of additional details are the minimum required to ensure the new design will have the same volume as the original design?A. The heights of both designs must be the same, and at least one cross-section taken at the same height on both designs must have the same area.B. The heights of both designs must be the same, the base areas of both designs must be the same, and each cross-section taken at the same height on both designs must have the same area.C. The heights of both designs must be the same, and the base areas of both designs must be the same.D. The heights of both designs must be proportional, the base areas of both designs must be proportional, and each cross-section taken at the same height on both designs must have the same radius.

A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers Their current design is a standard cylinder w class=

Respuesta :

[tex]C[/tex]

1) In this problem, we need to keep in mind the formula for the volume of one cylinder:

[tex]V=\pi r²h[/tex]

Or in other words, the base area (area of a circle) times the height.

2) Since the point here is not to lose capacity (volume) the new design must keep its base areas as well as their height, so examining the answers we can tell that the answer is:

[tex]C[/tex]

These are the minimum requirements

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