Question

find the volume of this cylinder. round to the nearest tenth.
r = 5 cm
5 cm
v = ? cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder.

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

Step2: Identify the values of \( r \) and \( h \).

From the diagram, we have \( r = 5\space\text{cm} \) and \( h=5\space\text{cm} \).

Step3: Substitute the values into the formula.

Substitute \( r = 5 \) and \( h = 5 \) into the formula \( V=\pi r^{2}h \):
\[

$$\begin{align*} V&=\pi\times(5)^{2}\times5\\ &=\pi\times25\times5\\ & = 125\pi \end{align*}$$

\]

Step4: Calculate the numerical value and round to the nearest tenth.

Using \( \pi\approx3.14159 \), we get \( V = 125\times3.14159=392.69875 \). Rounding to the nearest tenth gives \( 392.7 \).

Answer:

\( 392.7 \)