SOLUTION: You are designing a cone-shaped candle with a volume of 8 cubic inches. The height of a cone is 2 inches longer than the diameter of a base. What should be the diameter and hieght
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Question 814889: You are designing a cone-shaped candle with a volume of 8 cubic inches. The height of a cone is 2 inches longer than the diameter of a base. What should be the diameter and hieght of the cone
Answer by josgarithmetic(39799) (Show Source): You can put this solution on YOUR website!
Let d = diameter of the base.
h=d+2 where h is height.
Volume, and here, so you could use volume formula as
.
and you would want to solve for d, because you were already given v=8 cubic inches.
, using the given v=8.
At this extent, one would prefer to use a graphing calculator or some other software program to handle that cubic equation. The value of d which satisfies the equation would be (for positive d) the diameter...
Trying the function in Google as , zooming in, the root of y appears to be 2.403, or something very very near it.
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