Question

A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Jane to completely fill the tank without overflowing it?

Answer 1

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,

`V=\pi r^2 h`

Substituting the values, we have;

`V=(3.14)(4)^2(10)`

`V=(3.14)(16)(10)`

`V=502.4`

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

`Time = (Volume)/(Rate \ of\ filling)`

Substituting the values, we have;

`Time = (502.4)/(8)`

`Time = 62.8`

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.