Question

A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 8 inches.

What is the volume of water in the vase?

26π in3

16π in3

24π in3

32π in3

Answer 1

Have you considered calculating the volume of the cylinder with an 8" height?
You can also calculate the volume of each marble.

You'll be almost done.

Answer 2

what shape are the marbles

Answer 3

V=100.5 with the height at 8"

Answer 4

The volume of water in the vase would be as you calculated (exact answer is 32 pi) if there were no marbles in the bottom. So, since the marbles will displace water when we put them in, subtract the volume of the marbles to get the answer to the problem.

Answer 5

96.31

Answer 6

Doesn't look like the answers are in those terms. Put them it in terms of pi.

Answer 7

I don't think you calculated the volume of the marbles correctly.

Answer 8

oh wait

Answer 9

V = 75.36

V = 24pi

Answer 10

That's what I got. Well done. Do math every day.

Answer 11

thank u

Answer 12

No sweat.