Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), measured in cubic centimetres, is obtained from this formula:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
Where [tex]R[/tex] is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter ([tex]D[/tex]), measured in centimetres, then:
[tex]R = 0.5\cdot D[/tex]
([tex]D = 35\,cm[/tex])
[tex]R = 0.5\cdot (35\,cm)[/tex]
[tex]R = 17.5\,cm[/tex]
Now, we get the volume of each hemispherical bowl:
[tex]V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}[/tex]
[tex]V \approx 11224.649\,cm^{3}[/tex]
The total volume of six hemispherical bowl is:
[tex]V_{T} = 6\cdot V[/tex]
[tex]V_{T}= 6\cdot (11224.649\,cm^{3})[/tex]
[tex]V_{T} = 67347.894\,cm^{3}[/tex]
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
[tex]V_{T} = 67.348\,L[/tex]
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
