Answer:
Step-by-step explanation:
Given
Required
Initial expression of f(x) is
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
Substitute and
This gives
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Subtract 0.5x to both sides
Rearrange
Multiply both sides by -1
Volume:
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:
So:
From the figure the radius of the hemisphere is the same radius of the cylinder and equals:
And the height of the cylinder is:
So:
The volume of a hemisphere is half the volume of a sphere, hence:
Finally, the volume of the composite figure is:
Volume of cone: brainly.com/question/4383003
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