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)
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A water tank in the shape of a cone has a diameter of 12 feet and a height of 15 feet. What volume of water, in cubic feet, can the tank hold? Round your answer to the nearest tenth and use 3.14 for π
.(1 point)
To find the volume of the cone-shaped container, we can use the formula for the volume of a cone:
V = (π * r^2 * h) / 3
where V is the volume, r is the radius, and h is the height.
Substituting the given values into the formula, we have:
V = (3.14 * 3^2 * 7) / 3
V = (3.14 * 9 * 7) / 3
V = (196.98) / 3
V ≈ 65.66 cubic inches
Therefore, the cone-shaped container can hold approximately 65.66 cubic inches of coffee grounds.
To find the volume of the cone-shaped container, we use the formula for the volume of a cone: V = (1/3) × π × r^2 × h, where r is the radius and h is the height.
Plugging in the given values, we get V = (1/3) × 3.14 × 3^2 × 7 = (1/3) × 3.14 × 9 × 7 = (3.14 × 9 × 7) / 3 = 197.22 cubic inches.
Rounded to the nearest hundredth, the volume is 197.22 cubic inches.