The volume of a metal cylindrical rod is 126 cubic meters. The radius is 6 m. What is the height of the rod in millimeters? Use 3.14 as an approximation for π. Round your answer to the nearest millimeter.

1.11 mm

Step-by-step explanation:

The height of a cylinder can be found using the formula: h=V / (πr^2)

This formula was found by taking the formula for the volume of a cylinder and solving for h, or height. Knowing that V is 126 and the radius is 6, we can plug in our known variables in order to solve for h.

7000 mm

Step-by-step explanation:

Volume of the cylindrical rod = 126 m^3

Radius of the cylindrical rod = 6m

π = 3.14 (approximately)

Required: h (in mm)

Volume of a cylinder = πr^2h

126 m^3 = (6) ^2 * h

or

h = 126 / (6) ^2 = 126 / 36 = 6.6868m * 1000 = 6686.8mm

Therefore, the height of the cylinder is 7000 mm to its closest approximation.