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?

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;

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

5

step-by-step explanation: