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? U…

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asked Oct 8, 2023 228k views

1 Answer

Teneshia · Answer 1 · 2023-10-14T02:53:09+0000

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