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The volume of a 1.6 m long roller is given as 1.017 m3. What is the diameter (in mm)?

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Answer to a math question The volume of a 1.6 m long roller is given as 1.017 m3. What is the diameter (in mm)?

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Ali
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85 Answers
1. Verwenden wir die Formel für das Volumen einer Walze (Zylinder):

V = \pi r^2 h

2. Geben wir die Werte ein:

V = 1.017 \, \text{m}^3

h = 1.6 \, \text{m}

3. Lösen wir nach r :

1.017 = \pi r^2 \times 1.6

r^2 = \frac{1.017}{\pi \times 1.6}

r^2\approx0.2023

r\approx\sqrt{0.2023}

r\approx0.4498\,\text{m}

4. R berechnen und dann den Durchmesser d bestimmen:

d = 2r

d\approx2\times0.4498\,\text{m}

d\approx0.8996\,\text{m}

5. Umrechnen in Millimeter:

d=0.8996\,\text{m}\times1000\frac{\text{mm}}{\text{m}}

d\approx899.6\,\text{mm}

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