The Base of a Solid Is the Region Bounded by the Graphs

question 17

Short Answer

The base of a solid is the region bounded by the graphs of $y = 4 - x ^ { 2 }$ and $y = 0$ . The cross sections perpendicular to the $y$ -axis are equilateral triangles. Find the volume of the solid.

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Definitions:

Scientific Hypothesis

A testable prediction or explanation for a specific phenomenon, based on observation, reasoning, or existing scientific knowledge, serving as a starting point for further investigation.

Disproved

Shown to be false or incorrect through evidence or logical argument.

Proved

Demonstrated to be true or established with evidence.

Carl Popper

A philosopher of science known for his work on the philosophy of science, particularly for advocating the criterion of falsifiability in science.