What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth. diameter 14 height 12
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.
change 14 to 7
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.
To find the volume of a cone, you will need to use the formula V = (1/3) * π * r^2 * h, where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
To start, you will need to find the radius of the cone. The diameter is given as 14, so the radius can be calculated by dividing the diameter by 2. Therefore, the radius (r) is 14 / 2 = 7 mm.
Next, plug the values into the formula: V = (1/3) * π * 7^2 * 12.
Simplifying this expression, we get V = (1/3) * 3.14159 * 49 * 12.
Evaluating the expression further, we get V ≈ 6135.33 cubic millimeters.
Rounding this number to the nearest hundredth, the volume of the cone is approximately 6135.33 cubic millimeters.