What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point) cubic inches
First, we need to find the radius of the cone. The radius is half of the diameter, so the radius is 6/2 = 3 inches.
Next, we can use the formula for the volume of a cone: V = (1/3)πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Plugging in the values, we get: V = (1/3)(3.14)(3^2)(7)
V = (1/3)(3.14)(9)(7)
V = (0.3333333)(3.14)(9)(7)
V = (2.8266667)(7)
V = 19.7866667
Rounding to the nearest hundredth, the volume of the cone is approximately 19.79 cubic inches.
wrong
I apologize for the error. Let's correct it.
The correct calculation would be as follows:
V = (1/3)πr^2h
V = (1/3)(3.14)(3^2)(7)
V = (1/3)(3.14)(9)(7)
V = (0.3333333)(3.14)(9)(7)
V = (2.96572)(7)
V = 20.759
Rounding to the nearest hundredth, the volume of the cone is approximately 20.76 cubic inches.
still wrong
I apologize for the mistake. Let's correct it once again.
V = (1/3)πr^2h
V = (1/3)(3.14)(3^2)(7)
V = (1/3)(3.14)(9)(7)
V = (0.3333333)(3.14)(9)(7)
V = (3.14133)(9)(7)
V = 197.2371
Rounding to the nearest hundredth, the volume of the cone is approximately 197.24 cubic inches.
nope
I apologize for the mistakes in my previous calculations. Let's correct it once again.
Given:
Diameter = 6 inches
Radius (r) = 6/2 = 3 inches
Height (h) = 7 inches
Pi (π) = 3.14
Volume of a cone formula: V = (1/3)πr^2h
Substitute the values:
V = (1/3)(3.14)(3^2)(7)
V = (1/3)(3.14)(9)(7)
V = (0.3333333)(3.14)(9)(7)
V = (1.0472)(63)
V = 65.9176 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 65.92 cubic inches.