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 perpendicular height of the cone.
Given that the base diameter is 14 millimeters, we can find the radius of the base by dividing the diameter by 2: r = 14 mm / 2 = 7 mm.
The perpendicular height of the cone is given as 12 millimeters.
Now we can substitute these values into the formula: V = (1/3)π(7^2)(12).
Calculating this expression, we find: V ≈ 615.75 cubic millimeters.
Therefore, the volume of the cone is approximately 615.75 cubic millimeters.
se 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)
3 answers
wrong
I apologize for the error. Let's try to solve the problem correctly.
Given that the base diameter is 14 millimeters, we can find the radius of the base by dividing the diameter by 2: r = 14 mm / 2 = 7 mm.
The perpendicular height of the cone is given as 12 millimeters.
Now we can substitute these values into the formula: V = (1/3)πr^2h.
V = (1/3)π(7^2)(12) = (1/3)π(49)(12) = (1/3)(3.14)(49)(12) ≈ 7(3.14)(49) = 1081.66
Therefore, the volume of the cone is approximately 1081.66 cubic millimeters.
Given that the base diameter is 14 millimeters, we can find the radius of the base by dividing the diameter by 2: r = 14 mm / 2 = 7 mm.
The perpendicular height of the cone is given as 12 millimeters.
Now we can substitute these values into the formula: V = (1/3)πr^2h.
V = (1/3)π(7^2)(12) = (1/3)π(49)(12) = (1/3)(3.14)(49)(12) ≈ 7(3.14)(49) = 1081.66
Therefore, the volume of the cone is approximately 1081.66 cubic millimeters.
1 answer