Is 2/3 a rational or irrational
2 answers:
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First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
There are three of these triangles, so the area of the whole polygon is
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is
Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.
<h3>What is the volume of a sphere?</h3>The volume of a sphere of radius r is given as follows:
From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:
r = 8.8/2 = 4.4 inches.
Then the volume in cubic inches of a single ball is:
V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.
For the six balls:
6 x 356.8 = 2140.8 cubic inches.
More can be learned about the volume of a sphere at brainly.com/question/25608353
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