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

Question

Mathematics

Guest

19 April, 16:18

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

+5

Answers (1)

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Mariela Clarke · Answer 1

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.