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Elanso [62]
3 years ago
5

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0
Start with V=(1/3)x(3.14)x(r-squared)x(h) This is the formula for the volume of a cone

Then plug in the values that you are given in the equation  83.74=(1/3)x(3.14)x(r-squared)x(5 inches) 

Now combine "like terms"   83.74=(5.233333)x(r-squared)

Next you want to get "r" by itself, so by using order of operations we divide by 5.233333 on both sides and then you are left with 16=r-squared

Now to get rid of the "squared" you find the square root of both sides and you're left with 4=r 

Now that you have the radius and the question is "what is the diameter" simply double the radius and so you are left with 8

The answer is 8 inches 
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