Answer:
Length 3 cm.
Width 3 cm.
height 9. cm
Step-by-step explanation:
The volume is the length * width * height = LWH.
81 = 3* 3 * 9 so L could be 3, W could be 3 and H could b 9 cm.
Formula: Y=kx or y=ax or Y/x=a
K=12 k is also the slope!
Slope=12
Y=6
So If you plug in these values you get:
6=12x
Answer:
X=0.5 or 1/5
Answer:
hi
Step-by-step explanation:
rfshs hmm jtutq JK jehewyywgu
Answer:
the answer is 4,702
Step-by-step explanation:
if you didn't know standard form is letter basically written into numbers so what it means by "four thousand, seven hundred two" in standard form it wants you write it in number form there is a better way to explain this but im in a little rush
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