REWRITING A FORMULA A burning candle has a radius of r inches and was initially h, inches tall. After t minutes, the height of the candle
has reduced to h inches. These quantities are related by the formula
kt
t(h, h)
where k is a constant. Suppose the radius of a candle is 0.875 inch, its initial height is 6.5 inches, and k = 0.04.
r=
a. Rewrite the formula, solving for h in terms of t.
h =
b. Use your formula in part (a) to determine the height of the candle after burning 45 minutes. Round your answer to the nearest hundredth.