Answered

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A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?
3050 in3

84.8 in3

382 in3

215 in3

Sagot :

dominiczacchini
382 in3

Just look up volume of a sphere and a thing comes up all you have to put in is the radius (aka half of 9 which is 4.5) You're welcome.

Answer:  The correct option is (C) 382 in³.

Step-by-step explanation:  Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

The diameter of the basketball is about 9 inches, so its approximate radius will be

[tex]r=\dfrac{9}{2}=4.5~\textup{inches}.[/tex]

Therefore, the approximate volume of the basketball is

[tex]V\\\\\\=\dfrac{4}{3}\pi r^3\\\\\\=\dfrac{4}{3}\times 3.14\times (4.5)^3\\\\\\=\dfrac{4\times3.14\times 91.125}{3}\\\\\\=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.[/tex]

Thus, the best approximation of the volume of the ball is 382 in³.

Thus, (C) is the correct option.

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