Home
/
Chemistry
/
A water sample shows 0.03 grams of some trace element for every cubic centimeter of water. Brianna uses a container in the shape of a right cylinder with a radius of 9.6 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 Brianna collected? Round your answer to the nearest tenth.

Question

A water sample shows 0.03 grams of some trace element for every cubic centimeter of water.
Brianna uses a container in the shape of a right cylinder with a radius of 9.6 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
Brianna collected? Round your answer to the nearest tenth.

A water sample shows 0.03 grams of some trace element for every cubic centimeter of water. Brianna uses a container in the shape of a right cylinder with a radius of 9.6 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 Brianna collected? Round your answer to the nearest tenth.

expert verifiedVerification of experts

Answer

4.0261 Voting
avatar
EdwinMaster · Tutor for 5 years

Answer

### \(100.9 \text{ grams}\)

Explain

## Step 1: Calculate the volume of the cylindrical container<br />### Use the formula for the volume of a cylinder, \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height. <br />### Radius \(r = 9.6 \text{ cm}\) and height \(h = 11.6 \text{ cm}\).<br />### \(V = \pi \times (9.6)^2 \times 11.6\).<br /><br />## Step 2: Plug in the values and compute the volume<br />### \[<br />V = \pi \times (9.6)^2 \times 11.6 \approx 3.14 \times 92.16 \times 11.6 \approx 3363.187 \text{ cm}^3.<br />\]<br /><br />## Step 3: Calculate the amount of trace element in the volume of water<br />### Use the proportion given in the problem, 0.03 grams per cubic centimeter.<br />### Multiply the volume by the concentration:<br />### \[<br />\text{Amount of trace element} = 0.03 \times 3363.187 \approx 100.8956 \text{ grams}.<br />\]<br /><br />## Step 4: Round the answer to the nearest tenth<br />### \[<br />100.8956 \approx 100.9 \text{ grams}.<br />\]
Click to rate:

Hot Questions

More x