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.

Question

Accepted Answer

# Explanation:
## Step1: Calculate the volume of the cylinder
The formula for the volume of a right - cylinder is $V=\pi r^{2}h$. Given $r = 8$ cm and $h=11.6$ cm.
$$
\begin{align*}
V&=\pi\times(8)^{2}\times11.6\
&=\pi\times64\times11.6\
&=742.4\pi\
&\approx742.4\times3.14\
& = 2331.136\space\text{cm}^{3}
\end{align*}
$$
## Step2: Calculate the amount of trace element
Since there is $0.029$ grams of trace element per cubic centimeter of water.
The amount of trace element $m=0.029\times V$
Substitute $V = 2331.136$ into the formula:
$$
\begin{align*}
m&=0.029\times2331.136\
&=67.602944
\end{align*}
$$

# Answer:
$67.6$ grams

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Question

Explanation:

Step1: Calculate the volume of the cylinder

Step2: Calculate the amount of trace element

Answer: