Question

The volume enclosed by the cylinder of diameter $1.06m$ and height 7.2 m to the correct no. of the significant figure is:

• A. $6.350m^3$
• B. $6.35m^3$
• C. $6.3m^3$
• D. $6m^3$

Answer 1

The correct option is C $6.3m^3$

Diameter of cylindrical vessel $d=1.06m$
Height of cylindrical vessel $h=7.2m$
Volume $V=\frac{\pi d^{2}h}{4}$
$⟹V=\frac{\pi \times (1.06{)}^2\times 7.2}{4}=6.354m^3$
Since the number $7.2$ has two significant figures and $1.06$ has three significant figures.
So the final answer must have 2 significant figures.
Thus volume of cylinder $V=6.3m^3$