Answer:
902.75 cubic cm.
Explanation:
Given a can with:
• Height, h = 11.5 cm
,
• Diameter = 10 cm
A can is in the shape of a cylinder; and the volume of a cylinder is calculated using the formula:
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
First, find the radius by dividing the diameter by 2.
![r=(10)/(2)=5\;cm](https://img.qammunity.org/2023/formulas/mathematics/college/6zfg1u2egmrvknwftjmobh0j509gpxp5p4.png)
Next, substitute r=5, h=11.5 and π=3.14 into the formula given above:
![\begin{gathered} V=3.14*5^2*11.5 \\ =902.75\text{ cubic cm} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hmkn3opy12db3ezw449e33ljtvfo46td1x.png)
The volume of the can is 902.75 cubic cm.