Question

a water sample shows 0.097 grams of some trace element for every cubic centimeter of water. jose uses a container in the shape of a right cylinder with a radius of 8.6 cm and a height of 11.2 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 jose collected? round your answer to the nearest tenth.

Explanation:

Step1: Calculate cylinder volume

Volume of cylinder: $V = \pi r^2 h$
$V = \pi \times (8.6)^2 \times 11.2$
$V \approx 3.1416 \times 73.96 \times 11.2 \approx 2618.5 \, cm^3$

Step2: Find trace element mass

Mass = concentration × volume
Mass = $0.009 \times 2618.5 \approx 23.6$

Answer:

23.6