Find the volume of a cylinder with a height if 12 inches and a diameter of 8 inches
To find the volume of a cylinder, you can use the formula:
V = πr²h
Where:
V = Volume of the cylinder
π (pi) = Mathematical constant approximately equal to 3.14159
r = Radius of the cylinder's base
h = Height of the cylinder
First, calculate the radius of the cylinder. The radius is half of the diameter, so if the diameter is 8 inches, the radius (r) is:
r = diameter / 2
r = 8 inches / 2
r = 4 inches
Now that we have the radius, we can calculate the volume of the cylinder. The height (h) is given as 12 inches, so:
V = π * (4 inches)² * 12 inches
V = π * 16 inches² * 12 inches
V = π * 192 inches³
V ≈ 3.14159 * 192 inches³
V ≈ 603.18576 inches³
Round this to a reasonable number of significant figures, depending on the required precision. For everyday purposes, you might round to the nearest cubic inch:
V ≈ 603 inches³
Thus, the volume of the cylinder is approximately 603 cubic inches.