Question

What is the volume of the outer/larger cylinder? round to the nearest 10th. What is the volume of the inner/smaller cylinder? Round to the nearest 10th. What is the volume of the unusual? Use the rounded answers for the other two volumes to find this answer.

Answer 1

Outer cylinder: 2939.0 cm³

Inner cylinder: 360.0 cm³

Unused roll: 2579.0 cm³

Step-by-step explanation:

The volume of a cylinder can be calculated as

`V=\pi r^2h`

Where π = 3.14, r is the radius and h is the height.

For the outer cylinder, the diameter is 12 cm, so the radius is

r = 12 cm/2 = 6 cm

Then, the volume of the cylinder is

`\begin{gathered} V=(3.14)(6\text{ cm\rparen}^2(26\text{ cm\rparen} \\ V=2939.0\text{ cm}^3 \end{gathered}`

For the inner cylinder, the diameter is 4.2 cm, so the radius and its volume is

r = 4.2 cm/2 = 2.1 cm

`\begin{gathered} V=3.14(2.1\text{ cm\rparen}^2(26\text{ cm\rparen} \\ V=360.0\text{ cm}^3 \end{gathered}`

Finally, the volume of the unused roll is the difference between the outer and the inner cylinders, so

2939.0 cm³ - 360.0 cm³ = 2579.0 cm³

So, the answers are

Outer cylinder: 2939.0 cm³

Inner cylinder: 360.0 cm³

Unused roll: 2579.0 cm³