Sean 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 3 inches and the height of the cylinder is labeled as 6 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 3 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.

18.0 cubic inches

28.26 cubic inches

37.0 cubic inches

56.52 cubic inches

Question

Mathematics

Alicia Johnston

29 February, 04:26

Sean 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 3 inches and the height of the cylinder is labeled as 6 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 3 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.

18.0 cubic inches

28.26 cubic inches

37.0 cubic inches

56.52 cubic inches

+4

Answers (1)

Know the Answer?

Finley Chen · Answer 1

56.52 in^3

V (cylinder) = pi * r^2 * h

V = pi * 3^2 ^ 6

V = pi * 9 * 6

V = 54pi

V (sphere) = (4/3) * pi * r^3

V = (4/3) * pi * 3^3

V = (4/3) * pi * 27

V = 36pi

54pi - 36pi = 18 pi

18 * 3.14 = 56.52