Asked by william Alexaner

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

Answers

Answered by william Alexaner
wrong
Answered by william Alexaner
still wrong
Answered by william Alexaner
nope
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.

Related Questions