. Which three-dimensional figure is modeled by the net below?
2 answers:
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Answer:
The volume is 2140.98 inches³
Step-by-step explanation
The basketballs are spherical, and it is known that the volume of a sphere is
Where V is the volume of the ball and r is its radius
They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.
It is known that the radius of a sphere is equal to half its diameter.
Therefore, the radius r of the ball is:
r = 4.4 inches.
Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.
We already have all the data we need, now we proceed to calculate the volume.
Where V is the volume of only one of the balls
The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³
Finally the volume is 2140.98 inches³