The formula for volume of cone is:
V = π
r^2 h / 3
or
π r^2
h / 3 = 36 cm^3
Simplfying in terms of r:
r^2 = 108 / π h
To find for the smallest amount of paper that can create
this cone, we call for the formula for the surface area of cone:
S = π
r sqrt (h^2 + r^2)
S = π
sqrt(108 / π h) * sqrt(h^2 + 108 / π h)
S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h]
Surface area = sqrt (108) * sqrt[(π h + 108
/ h^2)]
<span>Getting the 1st derivative dS / dh then
equating to 0 to get the maxima value:</span>
dS/dh = sqrt (108) ((π – 216
/ h^3) * [(π h + 108/h^2)^-1/2]
Let dS/dh = 0 so,
π – 216
/ h^3 = 0
h^3 = 216 / π
h = 4.10
cm
Calculating
for r:
r^2 = 108 / π (4.10)
r = 2.90 cm
Answers:
h = 4.10 cm
<span>r = 2.90 cm</span>
3xy + 5
3(-3 • -2) + 5
-9 • -6 + 5
54 + 5
59
Answer: what the is dis sorry dont know
Step-by-step explanation:
Answer:
4/1
Step-by-step explanation:
8/8=1, so 32/8=4
Answer:
B. 68 inches
Step-by-step explanation:
H-------J-------K
you know that HJ is 56, and JK is 2/9 × HJ.
2/9 × 56 = 12.4
you now know HJ and JK, so HK is the sum of those.
12.4 + 56 = 68.4
so HK ≅ 68 when you round the answer
