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A geyser tank has a volume of 0.31246 m3. If the tank is 1315 mm long, what is its diameter? Use pi = 3.142. Round to 3 decimal places.
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10 stepsTo solve these problems, we will use the given formulas and dimensions. The geyser is a cylinder, and its length (1315 mm) will be used as the height in the volume formula.
3.1.1
Identify the given values and the formula.
The volume of the geyser () is .
The height () of the geyser (length of the tank from the diagram) is .
We are given .
The formula for the volume of a cylinder is .Convert the height to meters.
Substitute the known values into the volume formula and solve for the radius squared ().
Calculate the radius ().
Calculate the diameter ().
Round the diameter to three decimal places.
The diameter of the geyser is .
3.1.2
Identify the given values and the formula.
We will use the unrounded diameter from the previous calculation for accuracy: .
We are given .
The formula for circumference is Circumference .Convert the diameter to centimeters.
Calculate the circumference.
Round the circumference to two decimal places.
The circumference of the geyser is .
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