We need to find the volume of a cylinder with a diameter of 17 cm and a height of 41 cm.
The volume V of a cylinder with radius r and height h is:
[tex]V=\pi r^2h[/tex]
In this problem, we have:
[tex]\begin{gathered} r=\frac{\text{ diameter}}{2}=\frac{17\text{ cm}}{2}=8.5\text{ cm} \\ \\ h=41\text{ cm} \\ \\ \pi\cong3.14 \end{gathered}[/tex]
Then, we obtain:
[tex]\begin{gathered} V\cong3.14(8.5\text{ cm})^2(41\text{ cm}) \\ \\ V\cong3.14(72.25)(41)\text{ cm}^3 \\ \\ V\cong9301.465\text{ cm}^3 \end{gathered}[/tex]
Answer
The volume is 9301.465 cm³.
