What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth. ( 1 point )
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 6 inches, the radius (r) can be calculated by dividing the diameter by 2. So, r = 6 / 2 = 3 inches.
Plugging in the values, we get V = 1/3 * 3.14 * (3)^2 * 7 = 65.97 cubic inches.
Rounding to the nearest hundredth, the volume of the cone is approximately 66.00 cubic inches.
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)
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)
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 12 feet, we can find the radius (r) by dividing the diameter by 2. So, r = 12 / 2 = 6 feet.
Plugging in the values, we get V = 1/3 * 3.14 * (6)^2 * 15 = 564.36 cubic feet.
Rounding to the nearest tenth, the volume of water the tank can hold is approximately 564.4 cubic feet.
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
314 cubic centimeters
314 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
2,355 cubic centimeters
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 20 cm, we can find the radius (r) by dividing the diameter by 2. So, r = 20 / 2 = 10 cm.
Plugging in the values, we get V = 1/3 * 3.14 * (10)^2 * 15 = 1,570 cubic centimeters.
Thus, the volume of the cone is 1,570 cubic centimeters.
A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π
.(1 point)
Responses
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
6.28 cubic centimeters
6.28 cubic centimeters
12.56 cubic centimeters
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 2 cm, we can find the radius (r) by dividing the diameter by 2. So, r = 2 / 2 = 1 cm.
Plugging in the values, we get V = 1/3 * 3.14 * (1)^2 * 6 = 6.28 cubic centimeters.
Thus, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.
A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for π
.(1 point)
Responses
75.36 cubic meters
75.36 cubic meters
25.12 cubic meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
100.48 cubic meters
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 4 meters, we can find the radius (r) by dividing the diameter by 2. So, r = 4 / 2 = 2 meters.
Plugging in the values, we get V = 1/3 * 3.14 * (2)^2 * 6 = 25.12 cubic meters.
Thus, the volume of sand needed to fill the mold is 25.12 cubic meters.
A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π
.(1 point)
Responses
1,177.5 cubic inches
1,177.5 cubic inches
392.5 cubic inches
392.5 cubic inches
1,570 cubic inches
1,570 cubic inches
78.5 cubic inches
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the radius of the cone is 5 inches and the height is 15 inches, we can plug in these values into the formula to calculate the volume.
V = 1/3 * 3.14 * (5)^2 * 15 = 1,177.5 cubic inches.
Thus, the hanging flower vase can hold a volume of 1,177.5 cubic inches of water.
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the radius of the cone is 3 inches and the height is 7 inches, we can plug in these values into the formula to calculate the volume.
V = 1/3 * 3.14 * (3)^2 * 7 = 65.97 cubic inches.
Rounding to the nearest hundredth, the volume of the coffee grounds the container can hold is approximately 65.97 cubic inches.