Question
In: Math
An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height)...
An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height) will minimize the surface area?
Solutions
milcah answered 2 years agoRelated Solutions
A box with a square base and open top must have a volume of 32000 cm3....
A box with a square base and open top must have a volume of
32000 cm3. We wish to find the dimensions of the box that minimize
the amount of material used.
Find the following:
1. First, find a formula for the surface area of the box in terms
of only x, the length of one side of the square base. [Hint: use
the volume formula to express the height of the box in terms of x.]
Simplify your formula...
A rectangular storage container with an open top is to have a volume of 16 cubic...
A rectangular storage container with an open top is to have a
volume of 16 cubic meters. The length of its base is twice the
width. Material for the base costs 15 dollars per square meter.
Material for the sides costs 6 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 14 cubic...
A rectangular storage container with an open top is to have a
volume of 14 cubic meters. The length of its base is twice the
width. Material for the base costs 14 dollars per square meter.
Material for the sides costs 7 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 10 m3....
A rectangular storage container with an open top is to have a
volume of 10 m3. The length of this base is twice the
width. Material for the base costs $10 per square meter. Material
for the sides costs $6 per square meter. Find the cost of materials
for the cheapest such container. (Round your answer to the nearest
cent.)
A rectangular storage container with an open top is to have a volume of 20 cubic...
A rectangular storage container with an open top is to have a
volume of 20 cubic meters. The length of its base is twice the
width. Material for the base costs 14 dollars per square meter.
Material for the sides costs 7 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 9826 cubic...
A rectangular storage container with an open top is to have a
volume of 9826 cubic meters. The length of its base is twice the
width. Material for the base costs 12 dollars per square meter.
Material for the sides costs 8 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 22 cubic...
A rectangular storage container with an open top is to have a
volume of 22 cubic meters. The length of its base is twice the
width. Material for the base costs 11 dollars per square meter.
Material for the sides costs 6 dollars per square meter. Find the
cost of materials for the cheapest such container.
Total cost = (?)
(Round to the nearest penny and include monetary units. For
example, if your answer is 1.095, enter $1.10 including the...
A rectangular storage container with an open top is to have a volume of 8 m3....
A rectangular storage container with an open top is to have a
volume of 8 m3. The length of this base is twice the width.
Material for the base costs $6 per square meter. Material for the
sides costs $10 per square meter. Find the cost of materials for
the cheapest such container. (Round your answer to the nearest
cent.)
A rectangle storage container with an open top should have a volume of 33 meters^3. The...
A rectangle storage container with an open top should have a
volume of 33 meters^3. The length of its base is 2 times
the width. Material costs for the base are $10/meter^2 and the
material costs for the sides are $22/meter^2. Optimize the costs of
materials (hint minimum cost we are not trying to sell it).
What are the dimensions for the cheapest possible rectangular box with a volume of 72 cm3 ...
What are the dimensions for the cheapest possible rectangular
box with a volume of 72 cm3 if the material for the bottom costs
$16/cm2, material for the sides costs $2/cm2, and material for the
top costs $20/cm2 ?
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