Question
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)
Answers
GPT 3.5
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.
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.