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): You can put this solution on YOUR website!

-

The two circular base radii are and .

Volume is .
Simplify the expression.
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
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.

Writing by "josgarithmetic" is TOTALLY WRONG.

Simply ignore it for your safety.



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