Question

a company makes steel rods shaped like cylinders. each rod has a diameter of 4 centimeters and a height of 90 centimeters. how much steel will the company need to make 172 rods? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Find radius of the rod

The diameter is 4 cm, so radius $r = \frac{4}{2} = 2$ cm.

Step2: Calculate volume of 1 rod

Use cylinder volume formula $V = \pi r^2 h$. Substitute $\pi=3.14$, $r=2$, $h=90$:
$$V = 3.14 \times 2^2 \times 90 = 3.14 \times 4 \times 90 = 1130.4 \text{ cm}^3$$

Step3: Calculate total steel for 172 rods

Multiply single rod volume by 172:
$$1130.4 \times 172$$

Answer:

194428.8 $\text{cm}^3$