*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.
Question
Answer:
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
solved
general
8 months ago
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