Question

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.

• A. 206.50 g
• B. 307.57 g
• C. 268.57 g
• D. 150.23 g

Answer 1

The correct option is B

307.57 g

We know that, Density = $\frac{mass}{volume}$
where: m = mass of material
V = volume of material
Note that the volume of a cylinder is given by
$V=\pi r^2\times h$
where: r = radius
h = height
Substituting the values, we get:
$V=3.14\times \left[{\left(\frac{2.50}{2}\right)}^2\right]\times 5.50V=26.98c{m}^{3}As,D=\frac{M}{V}$
Note that ml is equivalent to $c{m}^3$.
Thus,
$11.4=\frac{m}{26.98}m=11.4\times 26.98m=307.57g$