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A water sample shows 0.029 grams of some trace element for every cubic centimeter of water. Parker uses a container in the shape of a right cylinder with a radius of 8 cm and a height of 11.6 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Parker collected? Round your answer to the nearest tenth.

User DirtyMind
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2 Answers

3 votes

Answer:

Explanation:

2332.31838 x 0.029

= 67.63723302 grams'

there the asnwer

User Pavlo Glazkov
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8.8k points
6 votes

Answer:

67.6 grams

Explanation:

First, find the volume of the cylindrical container which should provide the volume of water in the sample

Volume, V, of a cylinder is given by the formula


V = \pi r^2h

where,
r = radius of the cylinder
h = height of the cylinder

Given r = 8 cm and h = 11.6 cm. the volume of the container used by Parker
V = π · 8² · 11.6

= 2332.31838 cubic centimeters

There are 0.029 grams of trace element for every cubic centimeter of water

Therefore the amount of trace element in 2332.31838 cc of water
= 2332.31838 x 0.029
= 67.63723302 grams'

Rounded to the nearest tenth that would be 67.6 grams

User Gervase
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