A solid lies between planes perpendicular to the x-axis at x tox=. The cross sections perpendicular to the x-axis are circular d isks with diameters running from the curve y cotx to the curve y csc x. Find the volume of the solid.
A. +1) OA 6 2 O
B. (2/3-2)-3 n2 O
C. (3-1)x+ (3-1)
D. 2 12
1 answer:
It's unclear what the planes are supposed to be, so I'll take and with .
The cross sections are disks with diameter , so each disk of thickness has a volume of
Then taking infinitesimally thin disks, we find the solid has a volume of
Since
and
it follows that the volume is
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