Question

A 5.4-cm-diameter cylinder has a length of 12.5 cm. What is the cylinder’s volume in SI units?

Short answer

The volume of the cylinder is 2.86 x 10^-4 m³.

Step-by-step solution

Write the given information 

The diameter of the cylinder, d = 5.4 cm
The length of the cylinder, l = 12.5 cm

To calculate the volume of the cylinder in SI units

Meter is the SI unit of distance

The radius of the cylinder is r = d/2= 2.7 cm
The volume of the cylinder is given by
$V=\pi r^{2}l$

Substitute the known values

localid="1650951019632" $$\begin{gathered} V=(3.14){(2.7)}^2(12.5)c{m}^3 \\ =286.13c{m}^3 \\ =286.13\times {\left({10}^{-2}\right)}^3{m}^3 \\ =2.86\times {10}^{-4}{m}^3 \end{gathered}$$

Thus, the volume of the cylinder is 2.86 x 10^-4 m³.