A wheel of cheese has a diameter of 6 inches in a height of 2 inches a chef is making an appetizer
and wants to cut the wheel of cheese into cubes. If each cube has a length of 1 inch, how many cubes can the chef cut from the wheel of cheese?
To find the number of cubes, we need to find the volume of the wheel of cheese and divide it by the volume of each cube.
The volume of the wheel of cheese is calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
Given that the diameter is 6 inches, the radius is half of that, so r = 6/2 = 3 inches.
Plugging in the values, the volume of the wheel of cheese is V = π(3^2)(2) = 18π cubic inches.
The volume of each cube is given by V_cube = l^3, where l is the length of each side of the cube. In this case, l = 1 inch.
Plugging in the values, the volume of each cube is V_cube = (1^3) = 1 cubic inch.
To find the number of cubes that can be cut from the wheel of cheese, we divide the volume of the wheel of cheese by the volume of each cube:
Number of cubes = (18π cubic inches) / (1 cubic inch) = 18π cubes.
So the chef can cut approximately 18π cubes from the wheel of cheese.