A coffee maker has a cone-shaped container to hold the grounds. The radius of the container is 3 inches and the t 7 inches. What is the volume, in cubic inches, of coffee gi the container can hold? Round your answer to the neares hundredth and use 3.14 for T.
To find the volume of a cone, we can use the formula:
V = (1/3)πr^2h
Where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base of the cone, and h is the height of the cone.
In this case, the radius (r) is given as 3 inches and the height (h) is given as 7 inches.
Substituting these values into the formula:
V = (1/3) × (3.14) × (3^2) × 7
= (1/3) × (3.14) × 9 × 7
= 3.14 × 9 × 7 / 3
≈ 197.74 cubic inches
Rounded to the nearest hundredth, the volume of coffee the container can hold is approximately 197.74 cubic inches.