<u>Given</u>:
A cylindrical tank has a height of 10 feet.
The radius of the cylindrical tank is 4 feet.
Jane fills the tank with water at a rate of 8 cubic feet per minute.
We need to determine the time it will take for Jane to completely fill the tank without overflowing it.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
Substituting the values, we have;
Thus, the volume of the cylinder is 502.4 cubic feet.
<u>Time taken:</u>
The time taken can be determined using the formula,
Substituting the values, we have;
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.