A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If the company used 54,259.2cm3 of steel, how many rods did it make?Use 3.14 for π, and do not round your answer.
Question
A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If the company used 54,259.2cm3 of steel, how many rods did it make?Use 3.14 for π, and do not round your answer.
Solution
First, we need to calculate the volume of a single steel rod. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Given that the diameter is 4 cm, the radius (r) would be half of that, which is 2 cm. The height (h) is given as 60 cm.
Substituting these values into the formula gives:
V = π * (2 cm)² * 60 cm = 3.14 * 4 cm² * 60 cm = 753.6 cm³
This is the volume of one steel rod.
The company used 54,259.2 cm³ of steel. To find out how many rods the company made, we divide the total volume of steel used by the volume of one rod:
Number of rods = Total volume / Volume of one rod = 54,259.2 cm³ / 753.6 cm³ = 72 rods
So, the company made 72 steel rods.
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