Question

I think the answer. . .is the second one please correct me if i'm wrong

Answer 1

You are absolutely correct, second option is the correct answer.

Explanation:

Diameter of vase = 6 inches

Therefore, radius r = 3 inches

Diameter of marbles = 3 inches

Radius of marbles = 1. 5 inches

Height of water h = 10 inches

Volume of water in the vase = Volume of vase - 8 times the volume of one marble

`= \pi r^2h - 8* (4)/(3) \pi r^3 \\\\</p><p>= \pi (3\: in) ^2(10\: in) - 8( (4)/(3) \pi (1.5\: in) ^3) \\\\`

Answer 2

Answer: You are correct, it is the second option.

Explanation:

Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.

Volume of a sphere (marbles) formula is: 4/3*pi*r^3

The marbles have a diameter of 3 so 3/2=1.5. r=1.5.

The volume of the marbles is 8(4/3*pi*1.5^3).

Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.

pi(3)^2(10) - 8(4/3pi(1.5)^3)

Hope this helps. :)