Question

A water sample shows 0.016 grams of some trace element for every cubic centimeter of water. Adam uses a container in the shape of a right cylinder with a diameter of 11 cm and a height of 12 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 Adam collected? Round your answer to the nearest tenth.

Answer 1

18.2 grams

Explanation:

Since the base diameter of the cylindrical container is d=11 cm, so its radius r is:

`r=(d)/(2)=(11)/(2)=5.5`

Then, the volume V of the cylindrical container with radius r=5.5 cm and height h=12 cm is:

`V=\pi r^(2)h=\pi * 5.5^(2)* 12=363\pi`

Since the water sample contains 0.016g of trace element for every cubic centimeter of water, so amount of trace element collected by the container of volume
`V=363\pi` cubic centimeters is:

`0.016 g/cm^(3)* 363\pi~cm^(3)=18.2g`