Q18. - Algebra 1

Question

Find the volume of each cylinder. Round to the nearest tenth.

Step-by-Step Solution

Answer

The volume of the given cylinder is 467.9 cubic meters.

Step 1. State the formula.

The formula for the volume of a cylinder is $V=\pi r^{2}h$, where V is the volume, r is the radius and h is the height of the cylinder.

Step 2. List the given data.

It is clear, from the given figure, that the radius of the cylinder is 4.9 m and the height of the cylinder is 6.2 m.

Then, $r=4.9\mathrm{m}$ and $h=6.2\mathrm{m}$.

Step 3. Calculate the volume.

Put $r=4.9$, $h=6.2$ and $\pi =\frac{22}{7}$ in $V=\pi r^{2}h$ to get,

$$\begin{gathered} V=\left(\frac{22}{7}\right){\left(4.9\right)}^2\left(6.2\right) \\ =\left(\frac{22}{7}\right)\left(24.01\right)\left(6.2\right) \\ =\left(\frac{22}{7}\right)\left(148.862\right) \\ =467.852 \end{gathered}$$

So, $V=467.852$.

Step 4. Determine the unit.

Since the unit of both radius and height of the cylinder is given as meter, the unit of volume must be cubic meters.

 

So, the volume of the cylinder is 467.852 cubic meters.

Step 5. Rounding off.

Rounding to the nearest tenth, the volume of the given cylinder is 467.9 cubic meters.