Final answer:
To determine the volume of water that occupies 95% of the tube's volume, we first calculated the total volume using the formula for the volume of a cylinder and then found 95% of that volume, resulting in approximately 53.407 cubic inches of water.
Step-by-step explanation:
The student's question involves finding out how much water occupied the 95% volume of the tube. The tube in question is a PVC pipe with an inside diameter of 2 inches and a length of 18 inches. To find the volume of cylindrical objects, the formula is V = πr²h, where r is the radius of the cylinder and h is its height.
First, we convert the diameter to radius by dividing it by 2, giving us a radius of 1 inch. Plugging the values into the formula gives us the total volume, and then we calculate 95% of that to find the volume of water that fills the tube.
Let's calculate the volume now:
- Radius (r) = 2 inches / 2 = 1 inch
- Height (h) = 18 inches
- Total volume (V) = π * (1²) * 18
- Total volume (V) = π * 1 * 18 = 18π cubic inches
- Volume of water = 95% of total volume = 0.95 * 18π cubic inches
To get a numerical answer:
Volume of water = 0.95 * 18 * 3.14159 = approximately 53.407 cubic inches (since π is approximately 3.14159).