Answer:
V = Π (4)2*12
V = 603.19 cm3
Step-by-step explanation:
A soup can is a cylinder.
The formula for volume of a cylinder is the following: V= Πr2h.
We are given the height which is 12 (h=12) and the diameter which is 8 (d=8).
The formula asks for radius so we divide the diameter by 2.
r =8/2 = 4.
Now we can just plug the numbers into the formula
V = Π (4)2*12
V = 603.19 cm3
Since the units of measure are in centimeters, the volume will be measured in cubic centimeters.
Answer:
yes they are i mom and my dad
Step-by-step explanation:
they have deiffernt shapes some taller some shorter some bigger some smaller
6 edges in a triangular pyramid
Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
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>
