Question

a water sample shows 0.03 grams of some trace element for every cubic centimeter of water. brianna uses a container in the shape of a right cylinder with a radius of 9.6 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 brianna collected? round your answer to the nearest tenth.

Explanation:

Step1: Calculate the volume of the cylinder

The formula for the volume of a right - cylinder is \(V=\pi r^{2}h\). Given \(r = 9.6\) cm and \(h=11.6\) cm.

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Step2: Calculate the amount of trace element

Since there are \(0.03\) grams of trace element per cubic centimeter of water. Multiply the volume \(V\) by \(0.03\).
\(m = 0.03\times V\)
Substitute \(V\approx3361.5\) into the formula: \(m=0.03\times3361.5 = 100.845\approx100.8\) grams

Answer:

\(100.8\) grams