1Sep/10Off
Wire Circle
HELP ASAP-a cylindrical wire frame for a wastebasket has a wire circle for the top and bottom and 6 straight?
wire rods that hold the top and bottom circles together. The total amount of wire used is 4m. What radius and height will maximize the volume of the cylindrical frame? Round your answer to the nearest thousandth of a metre.
this is an optimization problem.
V = pi*h*r^2
but
6h+2*(2pi*r) = 4
h = 2/3*(1-pi*r)
V = pi * 2/3 *(1-pi*r)*r^2
= 2/3pi*(r^2 -pi * r^3)
dv/dr = 2/3pi*(2r-3pi*r^2)
for dv/dr = 0 to get max volume
2r-3pir^2 = 0
r(2-3pi*r) =0
which get r = 0 not acceptable it gives min volume
or 2-3pi*r = 0
r= 2/(3pi)
r = 0.212 meter
which get h = 2/9 = 0.222 meter
and V = 0.0314 cubic m
|
|
Lg Circle dangling wooden Dark Pink Costume fashion wire post pierced earrings $0.99 |
|
|
Vintage A.H.M. HO Scale Circle Track Set In Box 14 piece Curved Terminal Wires $4.99 |
|
|
Korea Style Black Faux Leather Wire Circle Wide Bangle Bracelet Fashion Jewerly $0.01 |
|
|
3 Strand Wire Silver Bead Circle Pendant Necklace Set $11.00 |
|
|
14K Gold Double Circle Dangle Wire Earrings Jewelry $199.99 |
|
|
14K Gold 3 Circle Dangle Wire Earrings Jewelry $184.99 |
|
|
Circle Pendant Wire wrap Freshwater P. Blister Silver $28.00 |
|
|
Lady Silver Tone Wire Circle Eardrop Fish Hook Earrings Pair $3.92 |
|
|
SILVER 925 THREE WIRE CIRCLE BLACK BEAD DANGLE EARRINGS $9.99 |
|
|
Silver Toned Wire Teardrop Hoop Earrings w/ Tarnished Circle Bead & Rhinestone $0.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $2.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |
|
|
New Steel Wire Circle Chain Dog Charm Key Ring #7366 $1.99 |