Calculate the volume of a cylinder that is 5.615 mm in height and 17.03 mm in diameter.
V = pi * r^2 * h
V = 3.14 * 8.515^2 * 5.615
V = 3.14 * 72.505225 * 5.615
V = 1,278.34687 cubic mm
V = ( d ^ 2 * pi / 4 ) * h
V = ( 17.03 ^ 2 * 3.14159 / 4 ) * 5615
V = ( 290.0209 * 3.14159 / 4 ) * 5615
V = ( 911.126759231/4 ) * 5615
V = 227.78168980775 * 5615
V = 1278994.18827 mm ^ 3
To calculate the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
First, let's find the radius of the cylinder. The diameter is given as 17.03 mm, and the radius is half of the diameter. So, we divide the diameter by 2:
radius = diameter / 2 = 17.03 mm / 2 = 8.515 mm
Now that we have the radius, we can substitute the values into the volume formula:
Volume = π * (8.515 mm)^2 * 5.615 mm
Now, let's calculate the volume:
Volume = 3.14159 * (8.515 mm)^2 * 5.615 mm
Using a calculator, square the radius:
Volume = 3.14159 * (72.407225 mm^2) * 5.615 mm
Multiply the squared radius by the height:
Volume = 3.14159 * 407.583734 mm^3 * 5.615 mm
Finally, multiply the result by π to get the final volume:
Volume ≈ 7195.79 mm^3
Therefore, the volume of the cylinder is approximately 7195.79 mm^3.