The Answer of <span>−2cos2π91 =</span> is -2
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
You would need to find the length of one wall then multiply it by 2 (since there are 2 walls) and then find the width and also multiply that by 2 and you would then add your to products (answers) to get the total length of your border
It isn't different, it is very much the same
1-1 = 0
.1-.1 = 0
5.25 - 3.75 = 1.50
1.0005 +1.005 = 2.0055
just make sure to line the decimal places on top of each other <span />
Answer:
343 square unit is the answer...
Step-by-step explanation:
as a^3 is formula for finding volume where a is 7