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6. A cone has a diameter of 6 inches and a height of 8 inches. Find the

volume using 3.14 for Tr. *

User John Bode
by
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1 Answer

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Final answer:

To calculate the volume of a cone with a diameter of 6 inches and a height of 8 inches, use the radius which is 3 inches and apply the formula V = 1/3πr²h, resulting in a volume of 226.08 cubic inches.

Step-by-step explanation:

The subject's question is about finding the volume of a cone with a given diameter and height. The formula to calculate the volume of a cone is V = ⅓πr²h. Given that the diameter is 6 inches, the radius (r) is half of that, which is 3 inches. Using 3.14 for π (pi), and the given height (h) of 8 inches, we can substitute these values into the formula to find the volume.

So, the calculation is:

Find the radius (r) by dividing the diameter by 2, r = 3 inches.

Substitute r and h into the volume formula: V = ⅓πr²h = ⅓(3.14)(3 inches)²(8 inches).

Calculate the square of the radius (3 inches)² = 9 inches².

Multiply the area with height and π: V = ⅓(3.14)(9 inches²)(8 inches) = 226.08 cubic inches.

Therefore, the volume of the cone is 226.08 cubic inches.

User Shrikant Mavlankar
by
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