Question

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 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 vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answer 1

Do you know the volume of a cylinder formula?

Answer 2

\[\pi(r^2)h\]

Answer 3

Diameter = 2(radius)

Answer 4

only the first and third option fit for the correct cylinder formula

Answer 5

So we can eliminate 2 and 4

Answer 6

Now volume of sphere is 4/3)(pi)(r^3)

Answer 7

1.5 = r. And we also have to multiply by 9 cuz there are 9 balls. Thus answer choice 3 is correct.