7. [-/1 Points]
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SCALCET9 15.7.024.EP.
ASK YOUR TEACHER
PRACTICE ANOTHER
Consider the following.
the volume of the solid that lies within both the cylinder $x^2 + y^2 = 25$ and the sphere $x^2 + y^2 + z^2 = 100$
Using cylindrical coordinates, write an integral that can be evaluated to find the volume $V$ of the given solid. (Choose
$0 < A \le 2\pi$. Choose $0 < B$.)
$V = \int_0^A \int_0^B \int_{-\sqrt{100 - r^2}}^{\sqrt{100 - r^2}} ( ) \, dz \, dr \, d\theta$
A =
B =
Find the volume.