Question

aA water sample shows 0.044 grams of some trace element for every cubic centimeterof water. Charlotte uses a container in the shape of a right cylinder with a radius of9.8 cm and a height of 10.7 cm to collect a second sample, filling the container all theway. Assuming the sample contains the same proportion of the trace element,approximately how much trace element has Charlotte collected? Round your answerto the nearest tenth.

Answer 1

Answer:

142.0 grams

Explanation:

We were given the following details:

trace element concentration, c = 0.044 grams per cubic centimeter of water

Charlotte uses a container in the shape of a right cylinder with:

Radius, r = 9.8 cm

Height, h = 10.7 cm

The sample contains the same proportion of the trace element. The amount of trace element collected is calculated as shown below:

$\begin{gathered} Amount=concentration\times Volume \\ concentration=0.44\text{ g/cm\textasciicircum3} \\ \text{For a cylinder, its volume is given by:} \\ Volume=\pi r^2h \\ Volume=\pi\times9.8^2\times10.7 \\ Volume=3,228.3886cm^3 \\ \\ \Rightarrow Amount=0.044\times3,228.3886 \\ Amount=142.049\approx142.0 \\ Amount=142.0g \end{gathered}$

Therefore, the amount of trace element is 142.0 g