Mathematics
Calculate the volume of a cylindrical steel bar which is 8cm long and 3.5cm in diameter
as always, v = πr^2 h
so plug in your numbers.
volume is, the area of the cross-section, multiplied by the length
v = [π * 3.5 cm)^2] * 8 cm
To calculate the volume of a cylindrical steel bar, you need to know the formula for the volume of a cylinder. The formula is given by:
V = π * r^2 * h
Where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the length (or height) of the cylindrical steel bar is 8cm and the diameter is 3.5cm. However, the formula requires the radius of the cylinder, not the diameter. So, you first need to find the radius by dividing the diameter by 2.
Radius (r) = Diameter / 2
Let's calculate the radius:
r = 3.5cm / 2 = 1.75cm
Now that we have the radius (r) and the height (h), we can substitute these values into the volume formula and calculate the volume (V):
V = π * (1.75cm)^2 * 8cm
Now, we can perform the calculations:
V = 3.14159 * (1.75cm)^2 * 8cm
≈ 3.14159 * (3.0625cm^2) * 8cm
≈ 76.9605cm^3
Therefore, the volume of the cylindrical steel bar is approximately 76.9605 cubic centimeters (cm^3).