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

The answer is the first option, which is: cubic inches.

The explanation for this answer is shown below.

1. You must apply the formula for calculate the volume of a cylinder and the formula for calculate the volume of a sphere and substitute the values which are given in the problem above, as following:

Where is the heigth of the cylinder and is the radius.

Where is the radius of the sphere.

2. Then, you must susbtract both volumes to calculate the difference asked in the problem:

3. Therefore, the answer is the option mentioned above.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.