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
Answers
GPT 3.5
The volume of a cone can be calculated using the formula: V = (1/3)πr^2h.
Given that the radius (r) is 3 inches and the height (h) is 7 inches, we can substitute these values into the formula and calculate the volume.
V = (1/3)π(3^2)(7)
V = (1/3)π(9)(7)
V = (1/3)π(63)
V = 21π
Using 3.14 for π, we can calculate the approximate volume of coffee grounds the container can hold:
V ≈ 21 * 3.14
V ≈ 65.94
Therefore, the volume of coffee grounds the container can hold is approximately 65.94 cubic inches.
Given that the radius (r) is 3 inches and the height (h) is 7 inches, we can substitute these values into the formula and calculate the volume.
V = (1/3)π(3^2)(7)
V = (1/3)π(9)(7)
V = (1/3)π(63)
V = 21π
Using 3.14 for π, we can calculate the approximate volume of coffee grounds the container can hold:
V ≈ 21 * 3.14
V ≈ 65.94
Therefore, the volume of coffee grounds the container can hold is approximately 65.94 cubic inches.