Problem

Determine the volume of the glue stick container:
9. The glue stick has a diameter of $3 \mathrm{~cm}$ and a height of $10.5 \mathrm{~cm}$. The glue inside the volume of the container and the volume of the glue?

Answer

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Answer

Final Answer: The volume of the glue stick container is approximately \(\boxed{74.22 \mathrm{~cm}^3}\).

Steps

Step 1 :The glue stick container can be considered as a cylinder. The volume of a cylinder is given by the formula \(\pi r^2 h\), where \(r\) is the radius and \(h\) is the height.

Step 2 :The radius is half of the diameter, so in this case, the radius is \(1.5 \mathrm{~cm}\).

Step 3 :The height is given as \(10.5 \mathrm{~cm}\).

Step 4 :We can substitute these values into the formula to find the volume of the container.

Step 5 :\(r = 1.5\)

Step 6 :\(h = 10.5\)

Step 7 :volume = \(\pi \times (1.5)^2 \times 10.5\) = 74.22 \mathrm{~cm}^3

Step 8 :The volume of the glue stick container is approximately \(74.22 \mathrm{~cm}^3\). This is the total volume of the container, including both the glue and the empty space.

Step 9 :If we want to find the volume of the glue only, we would need additional information, such as the proportion of the container that is filled with glue. Without this information, we cannot determine the volume of the glue.

Step 10 :Final Answer: The volume of the glue stick container is approximately \(\boxed{74.22 \mathrm{~cm}^3}\).

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