find the capacityof a cylidrical drinking flask whose radius is 3.42 cm height of 16.33?
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To find the capacity of a cylindrical drinking flask, we need to use the formula for the volume of a cylinder. The formula for the volume of a cylinder is given by V = πr^2h, where V represents the volume, r represents the radius, and h represents the height of the cylinder.
In this case, the radius of the flask is given as 3.42 cm, and the height is given as 16.33 cm.
Now, let's calculate the capacity of the flask step-by-step:
Step 1: Square the radius: 3.42 cm × 3.42 cm = 11.6964 cm^2 (rounded to four decimal places).
Step 2: Multiply the squared radius by the height: 11.6964 cm^2 × 16.33 cm = 190.711132 cm^3 (rounded to six decimal places).
Step 3: Multiply the result by π (pi) to get the final volume: 190.711132 cm^3 × π ≈ 598.692679 cm^3 (rounded to six decimal places).
Therefore, the capacity of the cylindrical drinking flask is approximately 598.692679 cm^3.