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You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answer to the nearest hundredth.

Respuesta :

musiclover10045
the formula for volume of a ball is:

V = 4/3 x PI x r^3
 we are told PI = 3.14

the diameter is 26 inches so r ( radius )= 26 / 2 = 13 inches

 now we have V = 4/3 x 3.14 x 13^3

V = 9198.11 cubic inches

calculista

Answer:

The volume of the ball is [tex]9,198.11\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere (yoga ball) is equal to

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

In this problem we have

[tex]r=26/2=13\ in[/tex] -----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}(3.14)(13^{3})=9,198.11\ in^{3}[/tex]

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