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30.66pi ft³
First, we need to find the volume of the cylinder using the following equation
The volume of the cylinder is 20pi
Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole
The volume of both half spheres is 10.66pi
Now we can add both together to get 30.66pi ft³
The slope intercept form is:
Where is the slope of the line and
the intercept with the y-axis.
To find the slope, take any two points from the table provided. For example:
(1, 1/5)
(3, 1)
So:
Now we find b substituting any point of the table in the equation:
We substitute the poiunt (3, 1) for example:
Now we solve for b:
Finally, the equation is:
The answer is the last option