Respuesta :
Given:
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.
Volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
Substituting the values, we have;
[tex]V=(3.14)(4)^2(10)[/tex]
[tex]V=(3.14)(16)(10)[/tex]
[tex]V=502.4[/tex]
Thus, the volume of the cylinder is 502.4 cubic feet.
Time taken:
The time taken can be determined using the formula,
[tex]Time = \frac{Volume}{Rate \ of\ filling}[/tex]
Substituting the values, we have;
[tex]Time = \frac{502.4}{8}[/tex]
[tex]Time = 62.8[/tex]
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.
