Question

joe has a cylindrical glass jar that he wants to fill completly with apple juice. This jar has a diameter of 4 inches and a height of 8 inches. What formula can joe use to determine the amount of apple juice in this glass jar​

Answer 1

Answer:

  V = πr²h

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

where V is the volume, r is the radius, and h is the height of the cylinder.

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Comment on the formula

This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...

  V = Bh

where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...

  B = πr²

Filling this into the volume formula gives ...

  V = πr²h . . . . . as above