*WILL GIVE BRAINLIEST!*A cylindrical candle had a diameter of 1 inch and a height of 8 inches. It burns at a rate of 2in every 9 hours write a linear equation in slope-intercept form that expresses the remaining volume of the candle after x hours.
Accepted Solution
A:
The volume of the candle is: V = (pi) * (r ^ 2) * (h) Where, r: radio h: height Substituting the values: V = (3.14) * ((1/2) ^ 2) * (8) V = 6.28 in ^ 3 The area is: A = 2 * pi * r ^ 2 + 2 * pi * r * h A = 2 * 3.14 * (1/2) ^ 2 + 2 * 3.14 * (1/2) * 8 A = 26.69 in ^ 2 The flow is: Q = v * A Where, A: area v: speed Substituting: Q = (2/9) * (26.69) Q = 5.93 in ^ 3 / h Then, the linear equation is given by: V (x) = -5.93x + 6.28 Answer: a linear equation in slope-intercept form that expresses the remaining volume of the candle after x hours is: V (x) = -5.93x + 6.28