Q:

*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