Radius of ball is 6 inches. Then the volume is 904.32
![in^3](https://img.qammunity.org/2020/formulas/mathematics/college/youuwfwi2iuztktkrc8zq2vhq3tloy5vvo.png)
Solution:
Given that, radius of a ball is 6 inches.
We have to find the volume of the ball with 6 inches radius.
Now, we know that, a ball will be in a shape of sphere, so we have to use the volume of a sphere formula to find the volume of the ball.
The volume of sphere is given as:
![\text { volume of sphere }=(4)/(3) \pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bavfkz7jiv7d65sr00l0is72bq22cb4oed.png)
where r is the radius.
Here in our problem, r = 6
![\text { Then, volume }=(4)/(3) * \pi * 6^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xol7b5x1rnf01lwex7gjtftti7uvlbnsh9.png)
![\begin{array}{l}{=(4)/(3) * \pi * 6 * 6 * 6} \\\\ {=4 * \pi * 2 * 6 * 6} \\\\ {=8 * \pi * 36} \\\\ {=288 \pi=288 * 3.14=904.32}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kei0r087t1we771i77hpk4vva8dbmbtz7q.png)
Hence the volume is 904.32
![in^3](https://img.qammunity.org/2020/formulas/mathematics/college/youuwfwi2iuztktkrc8zq2vhq3tloy5vvo.png)