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?

Respuesta :

Answer:

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

Step-by-step 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;

[tex]n = \frac{48,607 \ cm^3}{hour} *\frac{1}{1131.12 \ cm^3}\\\\ n = 43 \ rods/hour[/tex]

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

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