Question

A solid cylinder has a diameter of 8.4 cm and a height of 12.0 CM. Calculate the volume of a cylinder.​

Answer 1

Volume = 665 cm³

Explanation:

We can calculate the volume of a cylinder using the following formula:

`\boxed{\mathrm{Volume = \pi r^2 h}}`,

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:

`\mathrm{radius = 8.4 / 2}`

`= \bf 4.2 \: cm}`

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:

`{\mathrm{Volume = \pi * (4.2 \mathrm{\: cm})^2 * 12.0 \mathrm{\: cm}}}`

`= \pi * 17.64 \mathrm{\: cm^} * 12.0 \mathrm{\: cm}`

`\approx \bf 665 \: cm^3`

Therefore the volume of the cube is 665 cm³.