Answer:
The container weighs approximately 28 g.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:
volume container = (pi*r²*h)/3
Applying the data from the problem:
r = d / 2 = 8/2 = 4 cm
volume container = [pi*(4)²*22]/3
volume container = (pi*16*22)/3
volume container = (352*pi)/3 = 368.6135 cm³
Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:
density = mass / volume
shake mass = density*volume = 0.82*368.6135 = 302.26307 g
Since the container plus shake weighs 330 grams, then the container alone weighs:
container = 330 -302.26307 = 27.73693 g
The container weighs approximately 28 g.
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