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A softball has a circumference of 12 inches. What is the softball's approximate volume? A. 16.41 in.^3 B. 24.56 in.^3 C. 29.18 in.^3 or D. 31.27 in.^3

Respuesta :

calculista

Answer:

C. 29.18 in.^3

Step-by-step explanation:

step 1

Find the radius of the softball

The circumference is equal to

[tex]C=2\pi r[/tex]

substitute the given values

[tex]12=2(3.14) r[/tex]

solve for r

[tex]r=1.91\ in[/tex]

step 2

Find the volume

The volume of the sphere is equal to

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

substitute

[tex]V=\frac{4}{3}(3.14)(1.91)^{3}=29.18\ in^3[/tex]

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