Questions: The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank? Use the value 3.14 for π, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank? Use the value 3.14 for π, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Transcript text: The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank? Use the value 3.14 for $\pi$, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
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Solution

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Solution Steps

Step 1: Formula for the volume of a cylinder

The volume of a cylinder is given by the formula: $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.

Step 2: Plug in the given values

Given $r = 6.5$ ft and $h = 19$ ft, and using $\pi \approx 3.14$, we substitute these values into the formula: $V = (3.14)(6.5^2)(19)$

Step 3: Calculate the volume

$V = (3.14)(42.25)(19)$ $V = (3.14)(798.5)$ $V \approx 2536.39$

Step 4: Round to the nearest whole number

Rounding to the nearest whole number, we get 2536.

Final Answer:

2536 ft³

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