If bookshelf A is 3 feet long and bookshelf B is 4 feet long, what is the length of bookshelf C?

AnsSo I'm assuming this is a pythagorean theorem problem, and it involves right triangles. If this is the case, then we can use the formula: a² + b² = c². In this case, it gives us the values of a and b, so we have 3² + 4² = c². This is equal to 9 + 16 = c², and further simplified, 25 = c². So we can then find the square root of 25, written as √25, which would equal 5, as 5² = 5 * 5, and 5 * 5 = 25. So therefore your answer would be A. 5 feet. Hope this helps! :D.

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Step-by-step explanation:

Let's look at a point (x,y) on the line y=3+x. The height between (x,y) and the x-axis is y.  We want the distance from the axis of rotation which is y=3 so the height (or distance between) point (x,y) on y=3+x and y=3 is y-3.  

y-3 is the radius in terms of y.

(3+x)-3=x is the radius in terms of x.  I replaced y with 3+x since we have y=3+x.

The area of the circle I drew is

To find the volume we must integrate the area of the circle we found between the bounded lines x=0 and x=2.

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