To find the volume of a cone, we use the formula: V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Since the base diameter is given as 14 millimeters, the radius is half of the diameter, which is 14/2 = 7 millimeters.
Using the given height of 12 millimeters and the radius of 7 millimeters, we can calculate the volume:
V = (1/3)π(7^2)(12)
V = (1/3)π(49)(12)
V ≈ (1/3)(3.14)(49)(12)
V ≈ 6195.24
Rounding to the nearest hundredth, the volume of the cone is approximately 6195.24 cubic millimeters.
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)
1 answer