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 π
The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
Plugging in the values, we have:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V ≈ (1/3) * 3.14 * 63
V ≈ (3.14 * 63) / 3
V ≈ 197.82 / 3
V ≈ 65.94
Therefore, the volume of coffee grounds the container can hold is approximately 65.94 cubic inches.