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8 January, 05:43

Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 4 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches. What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.

16.75 cubic inches

20.93 cubic inches

24.25 cubic inches

33.49 cubic inches

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  1. 8 January, 06:05
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    To determine the difference between the volumes of the waxes used for each of the mold, we calculate for the volume of each of the mold.

    Cylindrical mold:

    V = πr²h

    where V is volume, r is radius, and h is height.

    Substituting the known values:

    V = π (2 in) ² (4 in)

    V = 16π in³ = 50.26 in³

    Spherical mold:

    V = 4πr³/3

    Substituting the radius to the equation,

    V = 4π (2 in) ³ / 3

    V = 32π/3 in³ = 33.51 in³

    The difference is calculated below:

    D = 50.26 in³ - 33.51 in³

    D = 16.76 in³

    Hence, the answer is the first choice.
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