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RSB [31]
4 years ago
8

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.

Mathematics
2 answers:
jeyben [28]4 years ago
7 0
Volume of cone = 1/3 pi r^2^h
104.67 = 1/3 x 3.14 x 4 x r^2
r^2 = 104.67/4.187 = 25
r = sqrt(25) = 5 inches
diameter = 2r = 2(5) = 10 inches.
OverLord2011 [107]4 years ago
5 0
The volume of a cone is calculated by multiplying the area of the base and the height divided by 3. It is expressed as follows:

V = πr²(h/3)

We calculate as follows:

104.67 = πr²(4/3)
r = 5.00 in
<span>D = 2r = 2 x 5.00 = 10.00 inches</span>
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