the base of a solid is the region enclosed by an ellipse with a major axis of 6 along the y-axis and a minor axis of 4. cross-sections perpendicular to the x-axis are isosceles right triangles with the hypotenuse in the base



Answer :

The required base of a solid is the region enclosed by an ellipse is 32 units.

What is ellipse ?

An ellipse  has a flightiness short of what one, and it addresses the locus of focuses, the amount of whose good ways from the two foci of the circle is a steady worth. A basic illustration of the circle in our day to day routine is the state of an egg in a two-layered structure and the running following in a games arena.

According to question:

the base of a solid is the region enclosed by an ellipse with a major axis of 6 along the y-axis and a minor axis of 4.

So, a= 6, b = 4

Base can be written as,

Base = [tex]\frac{1}{2}\int\limits^3_{-3}( {{\sqrt{4-\frac{4y^{2} }{9}}+\sqrt{4-\frac{4y^{2} }{9} } } )^2 } \, dx[/tex] = 32 units

Thus, required base is 32 units.

To know more about ellipse visit:

brainly.com/question/14281133

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