Answer:
49875 cm^3
Explanation:
We use the formula, "V = bh" to find the volume of one cylinder (can), where "b" is the area of the circle base of the cylinder, and "h" is the height.
First, we can find the volume of one cylinder.
The base would be calculated by "πr^2", where "r" is the radius. To find the radius, we can use the information given in the diagram: four cans in a row have a length of 84 cm. Thus, if we divide 84 by 4, we get the diameter of one can. If we divide that diameter by 2, we get the radius of one can: 84/4/2 = 10.5 = r
πr^2 --> π10.5^2 = 110.25π
The height is shown in the diagram: one can fits perfectly inside the box, so the height dimension of the box is the same as the can's height dimension.
h = 12
Now, we can calculate the volume of one can: V = 12 * 110.25π = 1323π
As the problem calls for the volume of 12 cans, we can multiply the volume of one can by 12 to find the volume of 12 cans:
12 * 1323π = 15876π = 49875 cm^3