What is the mass of a cylinder of lead that is 2.50 cm in diameter and 5.50 cm long. The density of lead is 11.4 g/mL. Find the volume of the cylinder.

Recall that density of a material can be solved by

d = m/V
where:
m = mass of material
V = volume of material
Note that the volume of a cylinder is given by
V = pi*(r^2)*h
where:
r = radius (which is 1/2 of the diameter)
h = height
Substituting,
V = 3.14*[(2.50/2)^2]*5.50
V = 26.98 cm^3

d = m/V
Note that mL is equivalent to cm^3. Thus
11.4 = m/26.98
m = 11.4*26.98
m = 307.57 g

Hope this helps~ :)

Determine the mass of the cylinder. Leave your answer as a whole number

Well, to find the volume of a cylinder, you'll need to use the formula for the volume of a cylinder, which is πr²h. And since the diameter is given, you'll need to divide it by 2 to get the radius. So, the radius would be 2.50 cm divided by 2, which is 1.25 cm.

Now, plug in the values into the formula:
Volume = π(1.25 cm)²(5.50 cm)
But hold on a second, I just realized that we're dealing with grams and milliliters here, not centimeters! So, we'll need to convert the measurements before calculating the volume. Sorry for the confusion, I'm a bit of a jester sometimes.

To find the volume of a cylinder, we use the formula:

Volume = π * r² * h

where π is a mathematical constant that approximates to 3.14159, r is the radius of the cylinder, and h is the height or length of the cylinder.

In this case, the diameter of the cylinder is given as 2.50 cm. To find the radius, we divide the diameter by 2:

radius = diameter / 2
radius = 2.50 cm / 2
radius = 1.25 cm

The height or length of the cylinder is given as 5.50 cm.

Now we can plug in these values into the formula to find the volume:

Volume = π * (1.25 cm)² * 5.50 cm

Using the value of π as 3.14159, we calculate:

Volume = 3.14159 * (1.25 cm)² * 5.50 cm
Volume ≈ 27.329 cm³

Therefore, the volume of the cylinder is approximately 27.329 cm³.

307.57 g