Answer:
Explanation:
To find the volume available for packing material, we need to calculate the volume of the box and subtract the volume of the soccer ball.
The volume of a square prism (box) is given by multiplying the area of the base (side length squared) by the height (which is also the side length in this case).
Volume of the box = (side length)^2 * side length = 9.5 inches * 9.5 inches * 9.5 inches
The volume of a sphere (soccer ball) is given by the formula (4/3) * π * (radius)^3. Since we have the diameter of the ball, we need to divide it by 2 to get the radius.
Radius of the soccer ball = 8.6 inches / 2 = 4.3 inches
Volume of the soccer ball = (4/3) * π * (4.3 inches)^3
Now, we can calculate the volume available for packing material:
Volume available for packing material = Volume of the box - Volume of the soccer ball
Make sure to use consistent units (in this case, cubic inches) throughout the calculation.
Once you have the numerical values, perform the calculations and round your final answer to the nearest tenth.