Question

The base of a solid SSS is the region bounded by the ellipse 4x^2+9y^2=364x 2 +9y 2 =364, x, squared, plus, 9, y, squared, equals, 36. Cross-sections perpendicular to the yyy-axis are equilateral triangles. Determine the exact volume of solid SSS.

Answer 1

Answer:

4π

Step-by-step explanation:

4x² + 9y² = 36

Divide all  through by 9

4/9x² + ²y² = 44

$\int\limits^3_0 {\pi y^{2} } \, dx$

$\int\limits^3_0 {4-\frac{4}{9} }x^{2} \, dx$