## Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 25 and the sphere x2 + y2 + z2 = 49.

Question

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## Answers ( )

Answer:Step-by-step explanation:we are asked to find the volume of solid that lies within both the cylinder

and

the sphere

Conversion from rectangular to cylindrical is

|J| =r

In cylindrical coordinates the volume is bounded by the cylinder r=5 and

Hence we can write volume as