Using the pythagoras theorem
side = sqrt (61^2 - 11^2) = sqrt 3600 = 60 in Answer
The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
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Answer:
see explanation
Step-by-step explanation:
look at the photo
8500 x 6.5 x 10 + 8500 =
8500 x 6.5 + 8500 =
8500 x 6.5/100 + 8500 =
8500 x 13/20 + 8500 =
110500/20 + 8500 =
5525 + 8500 =
14025
Equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)
