Question

A set of 333 cylindrical canisters all have a diameter of 888 centimeters (cm). The heights of the canisters are 16 cm, 12 cm, and 9 cm, respectively. Which of the following is closest to the total volume of the 333 canisters in cubic centimeters (cm³)?

A. 118,008 cm³.
B. 151,816 cm³.
C. 105,048 cm³.
D. 98,964 cm³.

Answer 1

The total volume of the 333 canisters in cubic centimeters (cm³) is closest to 151,816 cm³.

Step-by-step explanation:

To find the total volume of the 333 canisters, we need to calculate the volume of each canister and then add them up. The formula to calculate the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height. Since the diameter of each canister is given as 888 cm, the radius will be half of that, which is 444 cm. So, the volume of each canister will be:

V = 3.142 × (444 cm)² × (16 cm or 12 cm or 9 cm)

We can calculate the volumes for the three different heights and add them together to find the total volume. Comparing the given options, the closest value to the total volume of the canisters in cm³ is B. 151,816 cm³.