Answer: the length of the rectangle is 12 inches
Step-by-step explanation:
Let the length of the rectangle is x inches
Hence, the width is (x/2)+4 inches
Thus,
Divide both parts of the equation by 3:
What figures must be inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere?
2 answers:
Answer:
Right cone in a cylinder is inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere
Step-by-step explanation:
We have to tell what figures must be inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere
Cavalieri's principle states that
If between the same parallel lines any two plane figures are drawn, and if in them, any straight lines being drawn equidistant from the parallel lines, the included portion of any one of lines are equal, the plane figures also equal to one another.
As, volume of the hemisphere is two-third of cylinder and that of the whole sphere is four-third of the volume of cylinder. The latter is , making the volume of the sphere
.
Hence, right cone in a cylinder is inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere.
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Given conditions are :
In 1980's, a typical middle-income household earned= $34,757
In 2009, a similar middle-income household earned= $38,550
And we have to find relative increase in income for these households from 1980 to 2009.
So first we will find the total increase in amounts.
Relative increase =
= 10.91% or rounding it off we get approx 11%.
Hence, the answer is 11%.