Find the volume of the cylinder, in cubic millimeters. Round your anwser to nearest hundreth. Height is 13mm base is 8mm
To find the volume of a cylinder, you need to multiply the area of the base by the height.
The area of the base can be calculated by using the formula for the area of a circle, which is πr^2, where r is the radius of the base. Since the diameter of the base is given as 8mm, the radius is half of that, which is 8/2 = 4mm.
We can substitute the radius into the formula to find the area of the base:
Area of base = π(4mm)^2 = 16π mm^2
The height of the cylinder is given as 13mm.
Now, we can calculate the volume:
Volume of cylinder = Area of base × height
Volume of cylinder = 16π mm^2 × 13mm
Using the value of π as approximately 3.14, we can calculate the volume:
Volume of cylinder ≈ 16 × 3.14 mm^2 × 13mm
Volume of cylinder ≈ 644.88 mm^3
Rounding to the nearest hundredth, the volume of the cylinder is approximately 644.88 cubic millimeters.