Answer:
![7776](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zou17o3fldf94fk0g0vju25s4wxwbvkqqy.png)
![\pi units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fgjxqbsfs1ha3oqn790vzv1krghz9antkz.png)
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of sphere.
Volume =
![(4)/(3) \pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/9f3c9wmy5lqfktbzdomp5r1uoumosxrr1c.png)
Notice that our sphere has a radius of 18 units, so we can plug 18 into the formula.
Volume =
![((4)/(3)\))\pi(18units^(3))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/64b49gpdl3dyv2rpx9mnufk2zskwb6wxph.png)
Now, let's start by simplifying the exponent.
is equal to 18 units x 18 units x 18 units or 5,832 units³.
Volume =
![((4)/(3)) (5,832 units^(3)) (\pi)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aulgr0e54yl462n0v3sat9d8cw30xbz5ua.png)
Notice that we can cross cancel 3 in
and 5,832 to 1 and 1,944.
Volume =
![(4) (1,944 units^(3))(\pi)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oye1lkq0pien33dopf199y53jpvhd0cv3s.png)
Volume =
![7776](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zou17o3fldf94fk0g0vju25s4wxwbvkqqy.png)
![\pi units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fgjxqbsfs1ha3oqn790vzv1krghz9antkz.png)