To find the volume of the cylindrical mold, we use the formula V = πr^2h, where r is the radius and h is the height. Plugging in the values, we get V = 3.14(2^2)(5) = 3.14(4)(5) = 62.8 cubic inches.
To find the volume of the spherical mold, we use the formula V = (4/3)πr^3, where r is the radius. Plugging in the value, we get V = (4/3)(3.14)(2^3) = (4/3)(3.14)(8) = 33.49 cubic inches.
The difference in the amount of wax needed is given by the formula difference = Vcylinder - Vsphere = 62.8 - 33.49 = 29.31 cubic inches.
Therefore, the approximate difference in the amount of wax needed to make a candle from each of these molds is 29.31 cubic inches. So the answer is B) 29.31 cubic inches.
Bill used candle molds, as shown, 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 5 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. (5 points)
20.82 cubic inches
29.31 cubic inches
56.6 cubic inches
62.8 cubic inches
1 answer