Answer:
v=2571.13667 mm^3
Step-by-step explanation:
A marble is a sphere, and the volume of a sphere can be found using:
[tex]v=\frac{4}{3} \pi r^3[/tex]
We need to find the radius, and we know that the radius is 1/2 of the diameter
r=d/2
r=17/2
r=8.5
Now we can substitute 8.5 in for r, and 3.14 in for pi
[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]
[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]
[tex]v=\frac{4}{3}(1928.3525)[/tex]
[tex]v=2571.13667 mm^3[/tex]
