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A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and a height of 90 centimeters. How much steel will the company need to make 172 rods? Use 3.14 for pi, and do not round your answer.

User Tlenss
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1 Answer

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9 votes

We are given the measures of steel rods

The radius is r=2 cm and the height is h=90cm and pi=3.14

We are using the volume equation for a cylinder to determine what is the volume of each steel rod


V_C=\pi r^2h

We replace the values in the equation


V_C=3.14\cdot(2)^2\cdot90=1130.4\operatorname{cm}^3

Each steel rod has 1130.4 cubic centimeters

Now, as we must know how much steel is needed for 172 rods, we multiply the volume of a bar by 172


1130.4\operatorname{cm}\cdot172=194428.8^3\operatorname{cm}

In conclusion, the answer is that the company need 194428.8 cubic centimeters of steel

User Jerzy Kiler
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