# . Differential and integral calculus, an introductory course for colleges and engineering schools. As element of volume we take a thin slice parallel to the base. AH theparticles in such a slice will

CƠ HỘI VÀ THÁCH THỨC DÀNH CHO ĐT VIỆT NAM TẠI VÒNG LOẠI WORLD CUP 2026
CƠ HỘI VÀ THÁCH THỨC DÀNH CHO ĐT VIỆT NAM TẠI VÒNG LOẠI WORLD CUP 2026

. Differential and integral calculus, an introductory course for colleges and engineering schools. As element of volume we take a thin slice parallel to the base. AH theparticles in such a slice will have the same density. The volume of suchan element of volume is 7r(r2 — z2)Az and its mass is x(r2 — z2) kzAz. 340 INTEGRAL CALCULUS §221 Hence z — 15 15 r r /r2z3 z5r „kfy-*)*dz -(T-j=) Therefore the center of mass is at the point (0, 0, tzt). Example 2. To find the center of mass of an octant of the spherex2 — y2 — z2 = r2 when the density is proportional to the distance fromthe yz-plane.

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