Answer:
Volume = 665 cm³
Step-by-step explanation:
We can calculate the volume of a cylinder using the following formula:
[tex]\boxed{\mathrm{Volume = \pi r^2 h}}[/tex],
where:
• r = radius of cylinder
• h = height of the cylinder
In the question, we are told that the diameter of the cylinder is 8.4 cm. Since the diameter is twice of radius:
[tex]\mathrm{radius = 8.4 \div 2}[/tex]
[tex]= \bf 4.2 \: cm}[/tex]
We are also told that the height of the cylinder is 12.0 cm. Therefore, using this information, as well as the formula above, we can find the volume of the cylinder:
[tex]{\mathrm{Volume = \pi \times (4.2 \mathrm{\: cm})^2 \times 12.0 \mathrm{\: cm}}}[/tex]
[tex]= \pi \times 17.64 \mathrm{\: cm^} \times 12.0 \mathrm{\: cm}[/tex]
[tex]\approx \bf 665 \: cm^3[/tex]
Therefore the volume of the cube is 665 cm³.
