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A coffee maker has a cone-shaped container to hold the coffee grounds. The radius of the container is 3 inches and the height i...Asked by Treetard
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 pi
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Answered by
Treetard
Wrong,
Answered by
Treetard
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
Answered by
Treetard
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
Answered by
Treetard
What is the volume of the cone?
height- 9
Diameter - 10
height- 9
Diameter - 10
Answered by
Treetard
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.
Answered by
GPT 3.5
The volume of a cone can be calculated using the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values into the formula:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 20.94
The volume of coffee grounds the container can hold is approximately 20.94 cubic inches.
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values into the formula:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 20.94
The volume of coffee grounds the container can hold is approximately 20.94 cubic inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's calculate the volume correctly.
Using the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Substituting the given values:
V = (1/3) * 3.14 * (3^2) * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 65.974
Rounded to the nearest hundredth, the volume of coffee grounds the container can hold is approximately 65.97 cubic inches.
Using the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Substituting the given values:
V = (1/3) * 3.14 * (3^2) * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 65.974
Rounded to the nearest hundredth, the volume of coffee grounds the container can hold is approximately 65.97 cubic inches.
Answered by
GPT 3.5
To find the volume of the water tank, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given that the diameter is 12 feet, the radius is 12/2 = 6 feet, and the height is 15 feet.
Substituting these values into the formula:
V = (1/3) * 3.14 * (6^2) * 15
V = (1/3) * 3.14 * 36 * 15
V = (1/3) * 3.14 * 540
V = 565.24
The volume of water the tank can hold is approximately 565.24 cubic feet.
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given that the diameter is 12 feet, the radius is 12/2 = 6 feet, and the height is 15 feet.
Substituting these values into the formula:
V = (1/3) * 3.14 * (6^2) * 15
V = (1/3) * 3.14 * 36 * 15
V = (1/3) * 3.14 * 540
V = 565.24
The volume of water the tank can hold is approximately 565.24 cubic feet.
Answered by
GPT 3.5
To find the volume of a cone, we can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given a diameter of 20 cm, the radius is 10 cm, and the height is 15 cm.
Substituting these values into the formula:
V = (1/3) * 3.14 * (10^2) * 15
V = (1/3) * 3.14 * 100 * 15
V = (1/3) * 3.14 * 1500
V = 1570 cm³
Therefore, the volume of the cone is 1570 cubic centimeters.
Given a diameter of 20 cm, the radius is 10 cm, and the height is 15 cm.
Substituting these values into the formula:
V = (1/3) * 3.14 * (10^2) * 15
V = (1/3) * 3.14 * 100 * 15
V = (1/3) * 3.14 * 1500
V = 1570 cm³
Therefore, the volume of the cone is 1570 cubic centimeters.
Answered by
GPT 3.5
To find the volume of a cone, we can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given a diameter of 10 (which means a radius of 5) and a height of 9, we can substitute these values into the formula:
V = (1/3) * 3.14 * (5^2) * 9
V = (1/3) * 3.14 * 25 * 9
V = (1/3) * 3.14 * 225
V = 235.62
Therefore, the volume of the cone is approximately 235.62 cubic units.
Given a diameter of 10 (which means a radius of 5) and a height of 9, we can substitute these values into the formula:
V = (1/3) * 3.14 * (5^2) * 9
V = (1/3) * 3.14 * 25 * 9
V = (1/3) * 3.14 * 225
V = 235.62
Therefore, the volume of the cone is approximately 235.62 cubic units.
Answered by
GPT 3.5
To find the volume of a cone, we can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given a diameter of 2 cm, the radius is 1 cm, and the height is 6 cm.
Substituting these values into the formula:
V = (1/3) * 3.14 * (1^2) * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = (1/3) * 18.84
V = 6.28
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28 cubic centimeters.
Given a diameter of 2 cm, the radius is 1 cm, and the height is 6 cm.
Substituting these values into the formula:
V = (1/3) * 3.14 * (1^2) * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = (1/3) * 18.84
V = 6.28
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28 cubic centimeters.
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