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Correct Volume: 580.3 cm^3
Error: The volumes were added, not subtracted.
Let's take a look at the given composite figure. In the graph we can see that it is a cylinder with a smaller cylinder hollowed out.
We are told that the volume of the composite figure is 3 300.7cm^3. Our goal is to check if this is true.
V = V_1-V_2 Let's now remember that the volume of a cylinder with the radius r and height h is calculated by using the following formula. V=π r^2 h Note that in the exercise we are given the diameters of the bases, not the radii. This will not be a problem, though. Let's now find V_1!
As we earlier said, the volume of the composite figure V is a difference of volumes V_1 and V_2. V = V_1-V_2 Let's substitute the found volumes into the expression and evaluate. V &= 2940.5- 360.2 &= 2580.3 ✓ Notice that the result is different from the answer from the problem. This is how we know that the problem is incorrect.
The most likely error is that the volumes were added, not subtracted. Notice that when we add volumes V_1 and V_2, we get the result from the problem. V &= 2940.5+ 360.2 &= 3300.7 *
