For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the ch
2 answers:
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Answer: r ≈ 5.95
Step-by-step explanation:
Let S be the surface area , then
S = +
r
Differentiating S with respect to r , we have
dS = dr +
dh
= (2
r +
+
) dr +
dh
For the area to remain the same it means dS = 0
since r = 6cm , h = 8cm , dh = 0.28 then we have
0 = (12π + 10π +)dr +
X 0.28.
Making dr the subject of formula , we have
(12π + 10π +)dr = - (
X 0.28)
() dr = -
(640)dr = - 33.6
dr = - 33.6 / 640
dr = 0.05
This means that the radius should decrease by 0.05 for the area to remain the same. That means the radius = 6 - 0.05
r ≈ 5.95