A reservoir occupies the region defined by (all coordinates in metres)

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A reservoir occupies the region defined by (x+2)2+(y−3)2+z2≤64(x+2)^2+(y-3)^2+z^2\le 64 (all coordinates in metres). Calculate its volume in cubic metres. (a) 10243π\dfrac{1024}{3}\pi (b) 20483π\dfrac{2048}{3}\pi (c) 5123π\dfrac{512}{3}\pi (d) 256π256\pi

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