Adam has a cylindrical container. He is going to pour water into the container from a cube that has a side length of 1.5 inches. The container has a diameter of 8 inches and is 2 feet tall. How many full cubes of water can Adam fit into the container?
First, find the volume of the cylinder.
(Make sure you have like units)
V (cyl) = π(r^2)h
V (cyl) = π(4 in)^2(24 in)
V (cyl) = 384 π in^3 ≈ 1206.37 in^3
Next, find the volume of the cube.
V (cube) = s^3
V (cube) = (1.5 in)^3
V (cube) = 3.375 in^3
After, divide the volume of the cylinder by the volume of the cube. Round to the nearest whole number, since the question asked "how many FULL cubes..."
1206.37 / 3.375 ≈ 357 cubes
123god here 357
To find out how many full cubes of water can fit into the container, we need to calculate the volume of the container and the volume of one cube.
First, let's convert the height of the container from feet to inches:
2 feet = 2 * 12 = 24 inches
Now, let's calculate the volume of the container using its diameter and height. The volume of a cylinder is given by the formula:
Volume = pi * radius^2 * height
The diameter of the container is 8 inches, so the radius is half of that:
Radius = 8 / 2 = 4 inches
Substituting the values into the formula:
Volume = pi * 4^2 * 24
Volume ≈ 3015.93 cubic inches
Next, let's calculate the volume of one cube. The volume of a cube is given by the formula:
Volume = side length^3
The side length of the cube is 1.5 inches, so:
Volume = 1.5^3 = 3.375 cubic inches
Now that we have both volumes, we can divide the volume of the container by the volume of one cube to find out how many full cubes can fit inside:
Number of cubes = Volume of the container / Volume of one cube
Number of cubes ≈ 3015.93 / 3.375
Number of cubes ≈ 893.29
Therefore, Adam can fit approximately 893 full cubes of water into the container.