Question

Question 3 Multiple Choice Worth 1 points)

(06.02 MC)
A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is
filled with water. How much water is in the cylinder? Give your answer in terms of pi.
O 1.162 in
O 1.179TT in
O 1.21517 in
01.251 in

Answer 1

Explanation:

radius r of cylinder = 18/2 = 9 inches

height h = 15 inches

volume = πr²h = 1215π inches³

Radius of sphere = 3 inches

Volume of sphere = 4π3³/3 = 36π inches³

Volume of water = 1215π - 36π = 1179π ≈ 3704 inches³