a ladder is leaning against a wall. The ladder reaches 6 ft high on the wall and the base from the ladder is 2 ft from the wall
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Answer:
Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is
there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have
and by replacing in the integral we have
and by evaluating in the limits we have
Hope this helps
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