Volumen ellipsoid formel

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The volume of an n-dimensional hyperellipsoid can be obtained by replacing R n by the product of the semi-axes a 1 a 2 a n in the formula for the volume of a hypersphere: V = π n 2 Γ (n 2 + 1) a 1 a 2 ⋯ a n {\displaystyle V={\frac {\pi ^{\frac {n}{2}}}{\Gamma \left({\frac {n}{2}}+1\right)}}a_{1}a_{2}\cdots a_{n}}. The volume of the ellipsoid: V = 4/3 × π × r 1 × r 2 × r 3 V = 4/3 × π × 9 × 6 ×3 V = cm 3 Volume of ellipsoid (V) = cubic units Example 3: An ellipsoid whose radii are given as r 1 = 12 cm, r 2 = 10 cm and r 3 = 9 cm. Find the volume of the ellipsoid. Solution: Radius (r 1) = 12 cm Radius (r 2) = 10 cm Radius (r 3) = 9. r352-15 r200-19 r959-14 r829-21 r166-36 r352-30 r980-18 r874-12 r101-11