Answer:
The bowl's diameter is 35.8 cm
Step-by-step explanation:
Recall that 1 liter = 1000 cubic cm ad have in mind that in order to get a diameter in cm, we would need to write the volume of the bowl in cubic cm.
if 6 liters is 1/4 of the bowl, then 4 times 6 liters must fill the bowl. That is: the volume of the sphere is 24 liters.
24 liters in cubic cm is: 24000 cubic cm
now, we need to use the formula for the volume of a sphere of radius R:
[tex]Vol=\frac{4}{3} \pi\,R^3\\24000=\frac{4}{3} \pi\,R^3\\R^3=\frac{24000\,(3)}{4\,\pi} \\R=\sqrt[3]{\frac{24000\,(3)}{4\,\pi} } \\R\approx 17.894\,\,cm[/tex]
therefore, the diameter of the bowl is twice this radius value:
[tex]Diameter\approx 17.894\,* 2=35.788\,\,cm[/tex]
this value rounded to 3 significant figures is: 35.8 cm
