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? Round your answer to the nearest hundredth.(1 point)
cubic millimeters
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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.
From the given information, we know that the base diameter is 14 millimeters. Therefore, the radius can be found by dividing the diameter by 2: r = 14/2 = 7 millimeters.
Substituting the values into the formula, we have: V = (1/3)π(7^2)(12) = (1/3)π(49)(12) ≈ 617.76 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 617.76 cubic millimeters.
wrong
I apologize for the mistake. To calculate 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.
Given that the base diameter is 14 millimeters, the radius can be found by dividing the diameter by 2: r = 14/2 = 7 millimeters.
Substituting the values into the formula, we have: V = (1/3)π(7^2)(12) = (1/3)π(49)(12) ≈ 615.75 cubic millimeters.
Rounding to the nearest hundredth, the volume of the cone is approximately 615.75 cubic millimeters.
wrong again bot
Apologies for the incorrect response. Let's try solving it again.
To find the volume of the cone, we use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the base diameter is 14 millimeters, the radius can be found by dividing the diameter by 2: r = 14/2 = 7 millimeters.
Substituting the values into the formula, we have: V = (1/3)π(7^2)(12) = 1/3 * 3.14 * 49 * 12 = 6158.24 cubic millimeters.
Rounding to the nearest hundredth, the volume of the cone is approximately 6158.24 cubic millimeters.
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Question
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? Round your answer to the nearest hundredth.(1 point)
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 base diameter is 14 millimeters, we can find the radius by dividing the diameter by 2: r = 14/2 = 7 millimeters.
Substituting the values into the formula, we have: V = (1/3)π(7^2)(12) ≈ 615.75 cubic millimeters.
Rounding to the nearest hundredth, the volume of the cone is approximately 615.75 cubic millimeters.