Respuesta :

Answer:

1) [tex]\displaystyle V=\frac{4}{3} \pi (\frac{9}{4} )^3[/tex]

2) V = 15.2π yd³

Step-by-step explanation:

       To find the volume of the sphere, we will substitute into the formula for the volume of a sphere. The radius (r) is half of the diameter (d). Nine-halves divided by two is nine-fourths.

Volume of a sphere:

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

Substituting the radius:

➜ This gives us part 1.

    [tex]\displaystyle V=\frac{4}{3} \pi (\frac{9}{4} )^3[/tex]

Cube:

    [tex]\displaystyle V=\frac{4}{3} \pi (\frac{729}{64} )[/tex]

Multiply:

    [tex]\displaystyle V=\frac{2916}{192} \pi[/tex]

Divide:

➜ This gives us part 2.

   V = 15.1875π

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