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Leno4ka [110]
3 years ago
12

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?
Mathematics
1 answer:
ki77a [65]3 years ago
3 0

<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,

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.

<u>Time taken:</u>

The time taken can be determined using the formula,

Time = \frac{Volume}{Rate \ of\  filling}

Substituting the values, we have;

Time = \frac{502.4}{8}

Time = 62.8

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

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