Answer:
Exact volume:
[tex]\displaystyle\frac{500}{3}\pi \text{ in}^3[/tex]
Rounded volume: 524 cubic inches.
Step-by-step solution:
The formula for the volume of a sphere is:
[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
The radius is half the diameter, therefore it is r=10/2=5
We plug it into the formula and we get:
[tex]\displaystyle V=\frac{4}{3}\pi (5)^3[/tex]
Then we get:
[tex]\displaystyle V=\frac{4}{3}\pi (125)=\frac{500}{3}\pi[/tex]
If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches
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