Hello!
First, let's analyze the exercise and write some important information:
• diameter,: 24cm
,
• height,: 8cm
,
• π,: 3.14
,
• radius,: diameter/2, so r = 12
Now that we know it, let's talk about the formula:
![\mathrm{Volume=}\pi*\mathrm{r^2}*\mathrm{h}](https://img.qammunity.org/2023/formulas/mathematics/college/xk8j1h7l81vong6ixqm0w1boa6dqpru3da.png)
Let's replace the values in the formula:
![\begin{gathered} \mathrm{Volume=}3.14*12\mathrm{^2}*8 \\ \mathrm{Volume=}3.14*144*8 \\ \mathrm{Volume=}3.14*1152 \\ \boxed{\mathrm{Volume=}3617.28\mathrm{cm^3}} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5okcg5r92klmqckoiotm72kgwzwqbu1e56.png)
The volume is 3617.28cm³.