Question

a water sample shows 0.034 grams of some trace element for every cubic centimeter of water. abdoulaye uses a container in the shape of a right cylinder with a diameter of 13.4 cm and a height of 10.3 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 abdoulaye collected? round your answer to the nearest tenth.

Answer 1

Abdoulaye has collected approximately 49.2 grams of the trace element by filling a cylindrical container with a diameter of 13.4 cm and a height of 10.3 cm with water containing 0.034 grams of the trace element per cubic centimeter.

Step-by-step explanation:

To find out how much of the trace element Abdoulaye has collected, we first calculate the volume of water in the cylinder and then use the given concentration of the trace element per volume of water.

The formula for the volume of a cylinder is V = πr^2h, where 'r' is the radius and 'h' is the height. In this case, the diameter is given, so we need to divide it by two to find the radius.

• Radius (r) = 13.4 cm / 2 = 6.7 cm
• Height (h) = 10.3 cm

We can now calculate the volume of the cylinder:

V = π × (6.7 cm)^2 × 10.3 cm

V = π × 44.89 cm^2 × 10.3 cm

V ≈ 1448.3657 cm^3

Using the proportion of the trace element given, 0.034 g/cm^3, we can find the mass of the trace element in Abdoulaye's sample:

Mass of trace element = 1448.3657 cm^3 × 0.034 g/cm^3

Mass ≈ 49.2444 g

Therefore, Abdoulaye has collected approximately 49.2 grams of the trace element, rounded to the nearest tenth.

Answer 2

Abdoulaye has collected approximately 47.9 grams of the trace element.

Step-by-step explanation:

To find the approximate amount of trace element collected by Abdoulaye, we can calculate the volume of the container and then multiply it by the concentration of the trace element. The container is in the shape of a right cylinder, with a diameter of 13.4 cm and a height of 10.3 cm. The formula to calculate the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height. In this case, the radius is half of the diameter, so r = 13.4 cm / 2 = 6.7 cm. Plugging the values into the formula, V = 3.14 * (6.7 cm)^2 * 10.3 cm ≈ 1408.96 cm³. Now we can calculate the approximate amount of trace element collected by multiplying the volume by the concentration. Since the concentration is given in grams per cubic centimeter, the resulting units will be in grams. Therefore, the approximate amount of trace element collected by Abdoulaye is 1408.96 cm³ * 0.034 g/cm³ ≈ 47.88 g. Rounding to the nearest tenth, Abdoulaye has collected approximately 47.9 grams of the trace element.