SOLUTION: What is the volume of a frustum of a cone with a height of 6 inches, a top diameter of 8 inches and a bottom diameter of 16 inches? Round to the nearest whole number.
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Question 1083348: What is the volume of a frustum of a cone with a height of 6 inches, a top diameter of 8 inches and a bottom diameter of 16 inches? Round to the nearest whole number. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39620) (Show Source):
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What is the volume of a frustum of a cone with a height of 6 inches, a top diameter of 8 inches and a bottom diameter of 16 inches?
Round to the nearest whole number.
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The diameter (and the radius) of the cone decrease in 2 times when the height changed in 6 inches.
It means that the total height of the entire/whole/full cone is 12 inches.
It should be clear to you.
If it is not clear, make a sketch and mark the dimensions.
Now the volume of the frustum cone is the difference between the volume of the full cone and the volume of its upper (cut) part:
= = = .
To check my result, I will use the formula for the volume of the cone frustum from Wikipedia
V = = = .
The solution (the solutions) is/are correct.
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