A coffee maker has a cone-shaped container to hold the coffee grounds. The radius of the container is 3 inches and the height is 7 inches. What is the volume, in cubic inches, of coffee grounds the container can hold? Round your answer to the nearest hundredth and use 3.14 for (pi symbol)
The volume of a cone-shaped container can be calculated using the formula:
V = (1/3) * π * r² * h
Where V is the volume, π is 3.14, r is the radius, and h is the height.
Plugging in the given values:
V = (1/3) * 3.14 * 3² * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 66.35734...
Rounding to the nearest hundredth:
V ≈ 66.36 cubic inches
Therefore, the coffee maker can hold approximately 66.36 cubic inches of coffee grounds.