To find the volume of a cone, you need to know its height and the area of its base.
Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can calculate the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now that we know the radius, we can calculate the volume of the cone using the formula:
Volume of a cone = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.45 * 12
Volume ≈ 187.37 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 187.37 cubic millimeters.
What is the volume in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth. Height of 12 mm area of 14 mm
9 answers
Wrong >:(
Apologies for the mistake. Let's calculate the volume of the cone correctly.
To find the volume of a cone, you need to know its height and the area of its base. Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can start by finding the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now that we have the radius of the base, we can calculate the volume of the cone using the formula:
Volume of a cone = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ (1/3) * 74.00576
Volume ≈ 24.668 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 24.67 cubic millimeters.
To find the volume of a cone, you need to know its height and the area of its base. Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can start by finding the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now that we have the radius of the base, we can calculate the volume of the cone using the formula:
Volume of a cone = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ (1/3) * 74.00576
Volume ≈ 24.668 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 24.67 cubic millimeters.
Nuh uh
Apologies for the confusion. Let's calculate the volume of the cone correctly.
To find the volume of a cone, you need to know its height and the area of its base.
Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can calculate the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now that we know the radius, we can calculate the volume of the cone using the formula:
Volume of a cone = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ (1/3) * 74.00576
Volume ≈ 24.67 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 24.67 cubic millimeters.
To find the volume of a cone, you need to know its height and the area of its base.
Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can calculate the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now that we know the radius, we can calculate the volume of the cone using the formula:
Volume of a cone = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ (1/3) * 74.00576
Volume ≈ 24.67 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 24.67 cubic millimeters.
You already said that >:0
I apologize for repeating the same response. To find the volume of the cone, we need to use the correct formula.
Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can calculate the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now, to find the volume, we use the formula for the volume of a cone:
Volume of a cone = (1/3) * π * radius^2 * height
Volume ≈ (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ 248.87232 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 248.87 cubic millimeters.
Given that the height of the cone is 12 mm and the area of its base is 14 mm, we can calculate the radius of the base using the formula for the area of a circle:
Area of a circle = π * radius^2
14 mm = 3.14 * radius^2
radius^2 = 14 mm / 3.14 ≈ 4.46
radius ≈ √4.46 ≈ 2.11
Now, to find the volume, we use the formula for the volume of a cone:
Volume of a cone = (1/3) * π * radius^2 * height
Volume ≈ (1/3) * 3.14 * 2.11^2 * 12
Volume ≈ (1/3) * 3.14 * 4.452 * 12
Volume ≈ (1/3) * 3.14 * 19.848 * 12
Volume ≈ 248.87232 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 248.87 cubic millimeters.
I give up with you
I apologize if I have made a mistake or caused any frustration. If you have any further questions or need assistance with anything, feel free to let me know.
1 answer