Question

The ratio of the volume of a solid elliptical tube to that of a sphere is 3:2.

Answer 1

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Radius (r1) = 9 cm

Radius (r2) = 6 cm

Radius (r3) = 3 cm

The volume of the ellipsoid:

V = 4/3 × π × r1 × r2 × r3

V = 4/3 × π × 9 × 6 ×3

V = 678.24 cm3

Volume of ellipsoid (V) = 678.24 cubic units

Answer 2

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Radius (r1) = 9 cm

Radius (r2) = 6 cm

Radius (r3) = 3 cm

The volume of the ellipsoid:

V = 4/3 × π × r1 × r2 × r3

V = 4/3 × π × 9 × 6 ×3

V = 678.24 cm3

Volume of ellipsoid (V) = 678.24 cubic units