The diameter of a basketball is 9.50 inches. What is the volume of the ball, rounded to the nearest hundredth?

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

448.92 cubic inches tell me if im right

tia_tia [17]3 years ago

6 0

Answer: The volume of the basketball is 449.09 in³.

Step-by-step explanation: Given that the diameter of a basketball is 9.50 inches.

We are to find the volume of the basketball.

A basketball is of the shape of a sphere. And the volume of a SPHERE with radius 'r' units is given by

$V=\dfrac{4}{3}\pi r^3.$

Here, the diameter of the basketball is 9.50 inches, so the radius of the ball is

$r=\dfrac{9.50}{2}=4.75~\textup{inches}.$

Therefore, the volume of the basketball will be

$V\\\\\\=\dfrac{4}{3}\pi r^3\\\\\\=\dfrac{4}{3}\times\dfrac{22}{7}\times (4.75)^3\\\\\\=\dfrac{88}{21}\times 107.17\\\\\\=\dfrac{9430.96}{21}\\\\=449.09~\textup{in}^3.$

Thus, the volume of the basketball is 449.09 in³.

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