A pitcher has a diameter of 6 inches and a height of 10
inches. How many cubic inches can the pitcher hold?
To solve this problem, we need to use the formula for the volume of a cylinder, which is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
We know that the diameter of the pitcher is 6 inches, which means the radius is 3 inches (since radius is half the diameter). The height of the pitcher is 10 inches. So, we can plug these values into the formula and get:
V = π(3²)(10)
V = π(9)(10)
V = 90π
Therefore, the pitcher can hold 90π cubic inches. This is approximately 282.74 cubic inches if we use 3.14 as an approximation for π.