Respuesta :
The amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
What is of volume of cylinder?
Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of cylinder can be given as,
[tex]V=\dfrac{\pi r^2h}{4}[/tex]
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
A water sample shows 0.073 grams of some trace element for every cubic centimeter of water. The proportion of element with water is,
[tex]p=\dfrac{0.073}{1}[/tex]
Anthony uses a container in the shape of a right cylinder with a diameter of 11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the way.
The total volume of the container is,
[tex]V=\dfrac{\pi (11.4)^2\times16.5}{4}\\V\approx1684 \rm\; cm^3[/tex]
The sample contains the same proportion of the trace element. Let the trace element has Anthony collected is x. Thus,
[tex]\dfrac{x}{1684-x}=\dfrac{0.073}{1}\\x=122.932-0.073x\\x+0.073x=122.932\\x=\dfrac{122.932}{1.073}\\x\approx114.6\rm\; gram[/tex]
Thus, the amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
Learn more about the volume of cylinder here;
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