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Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume =
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball =
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.
For this case we have that by definition, the line equation of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have:
Thus, the equation is of the form:
We substitute the given point and find "b":
Finally, the equation is of the form:
Answer: