Question

A company makes steel rods shaped like cylinders. Each rod has a diameter of 6 centimeters and a height of 40 centimeters. The company uses, on average, 48,607cm^3 of steel each hour to make these rods. How many rods does the company make, on average, each hour?

Answer 1

The number of rods used by the company is 43 rods/hour

Explanation:

Given;

diameter of the cylinder, d = 6 cm

radius of cylinder, r = d/2 = 3 cm

height of the cylinder, h = 40 cm

Volume of the steel rod is given by;

V = πr²h

V = π(3)²(40)

V = 1131.12 cm³

The number of rods used by the company on average each hour is given by;

`n = (48,607 \ cm^3)/(hour) *(1)/(1131.12 \ cm^3)\\\\ n = 43 \ rods/hour`

Therefore, the number of rods used by the company is 43 rods/hour