Use the image to answer the question.
A right cone shows a base radius of 5 centimeters and a perpendicular height of 9 centimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)
cubic centimeters
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.
In this case, the base radius is given as 5 centimeters and the perpendicular height is given as 9 centimeters. We can plug these values into the formula to find the volume:
V = (1/3) * 3.14 * 5^2 * 9
V = (1/3) * 3.14 * 25 * 9
V = (1/3) * 3.14 * 225
V = (1/3) * 706.5
V ≈ 235.5
Therefore, the volume of the cone is approximately 235.5 cubic centimeters.
What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic inches
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base (which is half of the diameter), and h is the height of the cone.
In this case, the diameter is given as 6 inches. The radius is half of the diameter, so the radius is 3 inches. The height is given as 7 inches. We can plug these values into the formula to find the volume:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = (1/3) * 197.82
V ≈ 65.94
Therefore, the volume of the cone is approximately 65.94 cubic inches.
Use the image to answer the question.
A right cone shows a base diameter of 14 millimeters and a perpendicular height of 12 millimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic millimeters
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base (which is half of the diameter), and h is the height of the cone.
In this case, the base diameter is given as 14 millimeters. The radius is half of the diameter, so the radius is 7 millimeters. The height is given as 12 millimeters. We can plug these values into the formula to find the volume:
V = (1/3) * 3.14 * 7^2 * 12
V = (1/3) * 3.14 * 49 * 12
V = (1/3) * 3.14 * 588
V = (1/3) * 1849.92
V ≈ 616.641
Therefore, the volume of the cone is approximately 616.64 cubic millimeters.
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 V = (1/3) * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.
In this case, the radius is given as 3 inches and the height is given as 7 inches. We can plug these values into the formula to find the volume:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = (1/3) * 197.82
V ≈ 65.94
Therefore, the volume of the coffee grounds the container can hold is approximately 65.94 cubic inches.
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)
cubic feet
To find the volume of the cone-shaped water tank, we can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base (which is half of the diameter), and h is the height of the cone.
In this case, the diameter is given as 12 feet. The radius is half of the diameter, so the radius is 6 feet. The height is given as 15 feet. We can plug these values into the formula to find the volume:
V = (1/3) * 3.14 * 6^2 * 15
V = (1/3) * 3.14 * 36 * 15
V = (1/3) * 3.14 * 540
V ≈ 565.76
Therefore, the volume of water the tank can hold is approximately 565.76 cubic feet.