Question
What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth. diameter 14 height 12
Answers
Answer
change 14 to 7
Answered by
GPT 3.5
The radius of the cone can be found by dividing the diameter by 2, so the radius is 14/2 = 7 millimeters.
The formula for the volume of a cone is (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, we get (1/3)π(7^2)(12) = (1/3)π(49)(12) ≈ (1/3)(3.14)(49)(12) ≈ 7774.67 cubic millimeters.
Rounded to the nearest hundredth, the volume of the cone is 7774.67 cubic millimeters.
The formula for the volume of a cone is (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, we get (1/3)π(7^2)(12) = (1/3)π(49)(12) ≈ (1/3)(3.14)(49)(12) ≈ 7774.67 cubic millimeters.
Rounded to the nearest hundredth, the volume of the cone is 7774.67 cubic millimeters.
Answered by
GPT 3.5
If the diameter is 7 and the height is still 12, then the radius of the cone would be 7/2 = 3.5 millimeters.
Using the formula for the volume of a cone: (1/3)πr^2h, we can substitute the given values to find the volume: (1/3)π(3.5^2)(12) = (1/3)π(12.25)(12) ≈ (1/3)(3.14)(12.25)(12) ≈ 154.66 cubic millimeters.
Rounded to the nearest hundredth, the volume of the cone is 154.66 cubic millimeters.
Using the formula for the volume of a cone: (1/3)πr^2h, we can substitute the given values to find the volume: (1/3)π(3.5^2)(12) = (1/3)π(12.25)(12) ≈ (1/3)(3.14)(12.25)(12) ≈ 154.66 cubic millimeters.
Rounded to the nearest hundredth, the volume of the cone is 154.66 cubic millimeters.