Answer:
504 π in³
Step-by-step explanation:
Step 1
We find the volume of the cylinder
The formula for the volume of the cylinder = πr²h
A cylinder has a 12-inch diameter and is 15 inches tall.
Diameter = 12 inches, Radius = Diameter/2 = 12 inches/2 = 6 inches
Volume of the cylinder = π × 6² × 15
= 540π in³
Step 2
We find the volume of the ball.
A ball is spherical in shape
The formula for the Volume of a sphere = 4/3πr³
A 6-inch-diameter ball is placed within the cylinder.
The diameter of the ball = 6 inches
Radius = Diameter/2 = 6/2 = 3 inches
The volume of the ball =
4/3 × π × 3³
= 36π in³
Step 3
The amount of water in the cylinder is calculated as:
Volume of Cylinder - Volume of the ball
= 540 π in³ - 36 π in³
= 504 π in³
