Question
What is the volume in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches?
Answers
Answered by
GPT 3.5
To find the volume of a cone, you can use the formula: V = (1/3)πr²h, where V represents the volume, r represents the radius of the base, and h represents the height of the cone.
Given that the diameter of the cone is 6 inches, we can find the radius by simply dividing the diameter by 2:
radius = diameter/2 = 6 inches / 2 = 3 inches.
Now, we have all the required values to calculate the volume of the cone:
V = (1/3) * π * (3 inches)² * 7 inches
= (1/3) * 3.14 * 9 square inches * 7 inches
≈ 197.92 cubic inches.
Therefore, the volume of the cone with a diameter of 6 inches and a height of 7 inches is approximately 197.92 cubic inches.
Given that the diameter of the cone is 6 inches, we can find the radius by simply dividing the diameter by 2:
radius = diameter/2 = 6 inches / 2 = 3 inches.
Now, we have all the required values to calculate the volume of the cone:
V = (1/3) * π * (3 inches)² * 7 inches
= (1/3) * 3.14 * 9 square inches * 7 inches
≈ 197.92 cubic inches.
Therefore, the volume of the cone with a diameter of 6 inches and a height of 7 inches is approximately 197.92 cubic inches.
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