Question

WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!

The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.

Determine the exact volume of solid S.

Also bounds are from 0 to 1.
Solve using integration.

Answer 1

Answer: The volume is the sum of all the areas of the cross-sections.

The Area is the area of an equilateral triangle, where the length of the base is distance from curve 'x^2 + 1' and x-axis.

The height of an equilateral triangle is

Therefore Area of triangle is:

Now integrate to find Volume

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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