A 4.1089 g piece of aluminum wire with a circular cross section is 42.06 cm long and has density of 2.6989 g/cm3.

What is the volume of the wire and the cross sectional area of the wire in cm2?

mass = volume x density

You know mass and density; solve for volume of the wire

Then volume of wire = pi*r^2*length
Solve for pi*r^2 = area

To find the volume of the wire, we will use the formula:

Volume = mass / density

Given that the mass of the wire is 4.1089 g and the density is 2.6989 g/cm3, we can calculate the volume as follows:

Volume = 4.1089 g / 2.6989 g/cm3

Volume = 1.5247 cm3

To find the cross-sectional area, we need to divide the volume by the length of the wire:

Cross-sectional area = Volume / length

Cross-sectional area = 1.5247 cm3 / 42.06 cm

Cross-sectional area = 0.03625 cm2

Therefore, the volume of the wire is approximately 1.5247 cm3 and the cross-sectional area is approximately 0.03625 cm2.

To find the volume of the wire, you can use the formula:

Volume = Mass / Density

Given that the mass of the wire is 4.1089 g and the density is 2.6989 g/cm3, we can substitute these values into the formula:

Volume = 4.1089 g / 2.6989 g/cm3

To divide the grams by grams per cubic centimeter, we need to convert the units to be the same. Since volume is measured in cubic centimeters, we want to convert the mass to grams per cubic centimeter. We know that mass is already in grams, but we need the volume in cubic centimeters.

The length of the wire is given as 42.06 cm. Since the wire has circular cross section, we can consider it as a cylinder. The volume of a cylinder is given by the formula:

Volume of cylinder = π * radius^2 * height

Since we want the cross-sectional area of the wire, we can find the radius by rearranging the formula:

Cross-sectional area of wire = π * radius^2

To find the radius, we can use the formula:

Radius = √(mass / (density * length))

Substituting the given values:

Radius = √(4.1089 g / (2.6989 g/cm3 * 42.06 cm))

Once we calculate the radius, we can find the cross-sectional area of the wire by using the formula:

Cross-sectional area of wire = π * radius^2

Substituting the calculated radius into the formula will give us the answer in square centimeters.