Question

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.

Answer 1

7000 mm

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.

Answer 2

1.11 mm

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.