A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vaseπ(12in)2(3in) − 7( four over three π(1.5in)3) π(3in)2(12in) − 7( four over three π(1.5in)3)

π(12in)2(3in) − 1.5( four over three π(7in)3)

π(3in)2(12in) − 1.5( four over three π(7in)3)

Its choice 2.

Step-by-step explanation:

The volume of the water = Volume of water of the cylinder when height of 12 in - volume of the 7 marbles.

So Volume of the water = π * 3^2 * 12 - 7 ( 4/3 * π * 1.5^3)  in^3.

b. 2 and 4

step-by-step explanation:

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.