Answer :
Final answer:
The plastic needed to produce a packet containing 100 straws is 3.69 cm³.
Explanation:
To calculate the plastic needed to produce a packet containing 100 straws, we first need to find the volume of a single straw. The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height. Since the diameter of the straw is given as 7 mm, the radius is 3.5 mm or 0.35 cm. The height of the straw is given as 21 cm. Plugging these values into the formula, we get V = 3.14 * (0.35)^2 * 21. Multiply this volume by 100 to find the total volume needed for 100 straws.
Calculating this gives us:
V = 3.14 * (0.35 cm)^2 * 21 cm * 100 = 3.69 cm³
Therefore, the plastic needed to produce a packet containing 100 straws is 3.69 cm³.
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