WILL MARK BRAINLIEST! NEED HELP!
2 answers:
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Answer:
Following are the solution to the given equation:
Step-by-step explanation:
The graph file and correct question are defined in the attachment please find it.
According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).
by putting each point value into the objective function:
Thus, the objective of the function is reduced with a value of 183 at (3,1).
Answer:
a) The length of its edge is 8 units.
b) The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.
Step-by-step explanation:
a) The volume of a cube (), measured in cubic units, is defined by the following expression:
(1)
Where is the side length of the cube, measured in units.
If we know that , then the length of its edge is:
The length of its edge is 8 units.
b) The volume of a sphere (), measured in cubic units, that fits snugly inside this cube is defined by:
(2)
If we know that , then the volume of the sphere is:
The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:
If we know that and
, then the fraction of the cube that is taken up by the sphere is:
The result in percentage form is calculated by multiplying the result above by 100.
The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.