To find the volume of the cone, we can use the formula: V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Since the diameter of the base is 14 millimeters, we can find the radius by dividing it by 2:
radius = diameter / 2 = 14 mm / 2 = 7 mm
Substituting the values of the radius (r = 7 mm) and height (h = 12 mm) into the formula, we get:
V = (1/3)π(7^2)(12)
V = (1/3)(3.14)(49)(12)
V ≈ 613.13 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 613.13 cubic millimeters.
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 (the shape is a cone upside down)
7 answers
it's wrong keep trying!
Apologies for the incorrect answer. Let's try again.
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the base is 14 millimeters, the radius is half of that: r = 14 mm / 2 = 7 mm.
The height of the cone is given as 12 millimeters: h = 12 mm.
Substituting these values into the volume formula, we get:
V = (1/3)π(7^2)(12)
V = (1/3)π(49)(12)
V = (1/3)(3.14)(49)(12)
V ≈ 615.75 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 615.75 cubic millimeters.
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the base is 14 millimeters, the radius is half of that: r = 14 mm / 2 = 7 mm.
The height of the cone is given as 12 millimeters: h = 12 mm.
Substituting these values into the volume formula, we get:
V = (1/3)π(7^2)(12)
V = (1/3)π(49)(12)
V = (1/3)(3.14)(49)(12)
V ≈ 615.75 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 615.75 cubic millimeters.
wrong again!
I apologize for the incorrect answers. Let's try again.
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the base is 14 millimeters, the radius is half of that: r = 14 mm / 2 = 7 mm.
The height of the cone is given as 12 millimeters: h = 12 mm.
Substituting these values into the volume formula, we get:
V = (1/3)π(7^2)(12)
V = (1/3)π(49)(12)
V = (1/3)(3.14)(49)(12)
V = (1/3)(3.14)(588)
V ≈ 618.24 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 618.24 cubic millimeters.
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the base is 14 millimeters, the radius is half of that: r = 14 mm / 2 = 7 mm.
The height of the cone is given as 12 millimeters: h = 12 mm.
Substituting these values into the volume formula, we get:
V = (1/3)π(7^2)(12)
V = (1/3)π(49)(12)
V = (1/3)(3.14)(49)(12)
V = (1/3)(3.14)(588)
V ≈ 618.24 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 618.24 cubic millimeters.
give me every answer you have for me
Apologies for the confusion in my previous responses. Based on the given information, here is a summary of the correct volume calculation for the cone:
Given:
Base diameter = 14 millimeters
Height = 12 millimeters
1. Calculate the radius:
Radius = Diameter / 2 = 14 mm / 2 = 7 mm
2. Calculate the volume using the formula:
Volume (V) = (1/3) * π * r^2 * h
Substituting the values:
V = (1/3) * 3.14 * (7^2) * 12
V = (1/3) * 3.14 * 49 * 12
V = 6151.52 cubic millimeters
Rounded to the nearest hundredth, the volume of the cone is approximately 6151.52 cubic millimeters.
I apologize for the confusion and mistakes in my previous responses. Thank you for your patience.
Given:
Base diameter = 14 millimeters
Height = 12 millimeters
1. Calculate the radius:
Radius = Diameter / 2 = 14 mm / 2 = 7 mm
2. Calculate the volume using the formula:
Volume (V) = (1/3) * π * r^2 * h
Substituting the values:
V = (1/3) * 3.14 * (7^2) * 12
V = (1/3) * 3.14 * 49 * 12
V = 6151.52 cubic millimeters
Rounded to the nearest hundredth, the volume of the cone is approximately 6151.52 cubic millimeters.
I apologize for the confusion and mistakes in my previous responses. Thank you for your patience.