Question

A water sample shows 0.027 grams of some trace element for every cubic centimeter of water. Sadie uses a container in the shape of a right cylinder with a radius of 8.6 cm and a height of 11 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 Sadie collected? Round your answer to the nearest tenth.

Answer 1

In order to determine the amount of the trace element, proceed as follow:

First calculate the volume of the cylindric container by using the following formula:

`V=\pi r^2h`

where:

r: radius of the base of the cylinder = 8.6 cm

h: height = 11 cm

Replace the previous values into the formula for V and simplify:

`\begin{gathered} V=\pi(8.6cm)^2(11cm) \\ V\approx2555.87cm^3 \end{gathered}`

Now, consider that there are 0.027 grams of the trace element in one cubic centimeter. Then, for the previous volume you have:

`0.027(g)/(cm^3)\cdot2555.87cm^3\approx69g`

Hence, there area approximately 69 grams of the trace element into the cylindric container.