Question

A water sample shows 0.033 grams of some trace element for every cubic centimeter of water. Marques uses a container in the shape of a right cylinder with a diameter of 13.2 cm and a height of 19.7 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 Marques collected? Round your answer to the nearest tenth.

Answer 1

• 89.0 grams of trace element

Explanation:

Step 1

Find the volume of the sample container.

Given:

• Container is a right cylinder with d = 13.2 cm and h = 19.7 cm

Volume formula:

• V = πr²h = πd²h/4

Substitute to get:

• V = π(13.2)²(19.7)/4 = 2695.9 cm³ (rounded)

Step 2

Find the volume of the trace element, using the given proportion:

• 2695.9*0.033 = 89.0 grams (rounded)