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
.(1 point)
cubic inches
To find the volume of the cone-shaped container, we can use the formula for the volume of a cone:
V = (1/3)πr²h
where V is the volume, r is the radius, and h is the height.
Given that the radius is 3 inches and the height is 7 inches, we can substitute these values into the formula:
V = (1/3)π(3²)(7)
Simplifying further, we have:
V = (1/3)π(9)(7)
V = (1/3)π(63)
V = (63/3)π
V = 21π
Now, taking π to be approximately equal to 3.14, we can calculate the volume:
V = 21(3.14)
V ≈ 65.94
Therefore, the volume of coffee grounds the container can hold is approximately 65.94 cubic inches.