What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth. height of 12 mm and a radius of 14 mm solve your answer in cubic millimeters
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The volume of a cone is given by the formula V = (πr^2h)/3, where r is the radius and h is the height.
Given that the radius is 14 mm and the height is 12 mm, we can substitute these values into the formula to find the volume:
V = (π * 14^2 * 12) / 3
V ≈ 2463.34 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 2463.34 cubic millimeters.
Apologies for the mistake. Let's recalculate the volume correctly.
The formula for the volume of a cone is V = (1/3)πr^2h.
Given that the radius is 14 mm and the height is 12 mm, we can substitute these values into the formula:
V = (1/3)π(14^2)(12)
V = (1/3)π(196)(12)
V = (1/3)(3.1416)(196)(12)
V ≈ 9249.53 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 9249.53 cubic millimeters.
Apologies for the confusion. Let's recalculate the volume using the correct formula and rounding to the nearest hundredth.
The formula for the volume of a cone is V = (1/3)πr^2h.
Given that the radius is 14 mm and the height is 12 mm, we can substitute these values into the formula:
V = (1/3)π(14^2)(12)
V = (1/3)π(196)(12)
V ≈ 923.33 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 923.33 cubic millimeters.
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
where π is approximately 3.14159, r is the radius, and h is the height.
In this case, the radius (r) is given as 14 mm and the height (h) is given as 12 mm. Let's substitute these values into the formula and solve for the volume.
Volume = (1/3) * 3.14159 * 14^2 * 12
Simplifying further:
Volume = (1/3) * 3.14159 * 196 * 12
Volume ≈ 2451.97 cubic millimeters (rounded to the nearest hundredth)
Therefore, the volume of the cone is approximately 2451.97 cubic millimeters.