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

Answers

Answer 1
Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes
Answer 2

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

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.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

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

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

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

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-------------------------------------------------------------

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subtract sides minus 2x

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Answer:

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[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

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Mary got 9.37%. discount .

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