Brian is having a baseball-shaped piñata at his birthday party. If the piñata has a diameter of 12 inches, approximately how many cubic inches of candy can it hold? (Use 3.14 for π.)
A. 150.72
B. 602.88
C. 7,234.56
D. 904.32

Respuesta :

Answer:

Option D. [tex]904.32\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere (a baseball-shaped piñata ) is equal to

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

we have

[tex]r=12/2=6\ in[/tex] -----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=\frac{4}{3}(3.14)(6)^{3}=904.32\ in^{3}[/tex]