Answer:
The volume of sphere is 500 in³
Explanation:
Given:
Diameter of sphere is 10 in.
Now, to find the volume we need radius.
Radius(r) = half of the diameter
![r=(10)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c91htlg1x45bfhqztjexsrskpp55j3x603.png)
![r=5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/naxxyglucx4si1d12c1fhqb8yi58sa8luc.png)
And, now putting the formula to get the volume of sphere:
![volume(v)=(4)/(3)\pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n0ryxl2jgwvzxna4gq878wtz4hkanm71va.png)
Putting the value of π = 3.
![v=(4)/(3) * 3.14* 5^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4p0yt9rh6h235lbry2r6mqagws2e9evlai.png)
![v=1.33* 3.14* 125](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2hkwgloo18bwv2t8pnpse1zm9cx16faes9.png)
![v=522.025](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rw51vqaa9vo0ihf37ru4uig62kud6g98rl.png)
So, the volume is 522.025 in³.
By estimating the value the volume is 500 in³.
Therefore, the volume of sphere is 500 in³.