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The portion of a student’s ballpoint pen that contains the ink is a cylinder with a diameter of 0.400 cm and a height of 11.5 cm. If the ink lasts 7 weeks, what is the volume of ink that the student uses each week?

Respuesta :

To find the volume of a cylinder, you have to do pi x radius squared x height. So in this case, you would find the radius by dividing the diameter by two. Then you would set up your equation: pi x 0.2 squared x 11.5. Then you will get an answer of about 1.4. So the volume of the ink the student uses each week would be 1.4 cm cubed.

Answer:

The volume of ink that the student uses each week is 0.20 cm³.

Step-by-step explanation:

Diameter of he cylinder is 0.400 cm and height is 11.5.

[tex]r=\frac{d}{2}={0.4}{2}=0.2[/tex]

[tex]h=11.5[/tex]

Volume of cylinder is

[tex]V=\pi r^2h[/tex]

[tex]V=\pi \times (0.2)^2\times (11.5)[/tex]

[tex]V=1.445[/tex]

The volume of cylinder is 1.445 cm³. It means the volume is ink is 1.445 cm³.

It is given that ink lasts 7 weeks. So, the volume of ink that the student uses each week is

[tex]\frac{1.445}{7}=0.2064\approx 0.20[/tex]

Therefore the volume of ink that the student uses each week is 0.20 cm³.

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