R=7 because you would do -49 divided by -7
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>
Answer:
the answer will be f(√x)=2√x
Step-by-step explanation:
hope this helps :)
Answer:
(a) 113.04m²
(b) 37.68m
Step-by-step explanation:
(a)
Area = πr²
=π(6)²
=36π
=113.04m²
(b)
Circumference = 2πr
2π(6) = 12π
=37.68m
Answer:
Step-by-step explanation:
The slope-intercept formula can be used to find the equation of the line.
<u>Slope-intercept formula:</u>
- The m represents the slope.
- The b represents the y-intercept.
- y-intercept is 14.
<u>y=-3x+14</u>
- <u>Therefore, the correct answer is y=-3x+14.</u>
I hope this helps you! Let me know if my answer is wrong or not.
