Use the image to answer the question. What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
height is 12
width is 14
To calculate the volume of a cone, we can use the formula: V = (1/3)πr²h, where r is the radius and h is the height.
The width of the cone is given as 14, which is equal to the diameter of the base of the cone. As the diameter is twice the radius, the radius (r) would be half of the width, which is 14/2 = 7 millimeters.
Using the given height of 12 millimeters and the radius of 7 millimeters, we can substitute these values into the formula:
V = (1/3)(3.14)(7²)(12)
V ≈ (0.333)(3.14)(49)(12)
V ≈ 6064.248
Rounded to the nearest hundredth, the volume of the cone is approximately 6064.25 cubic millimeters.
wrong bro
Apologies for the mistake. Let's calculate it correctly this time.
To find the volume of a cone, we can use the formula V = (1/3)πr²h, where r is the radius and h is the height.
The width given is the diameter of the base, so the radius would be half of the width, which is 14/2 = 7 millimeters.
Using the given height of 12 millimeters and the radius of 7 millimeters, we can substitute these values into the formula:
V = (1/3)(3.14)(7²)(12)
V ≈ (0.333)(3.14)(49)(12)
V ≈ 6441.168
Rounded to the nearest hundredth, the volume of the cone is approximately 6441.17 cubic millimeters.