Question

A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 1.6 times as much as the concrete (per unit of surface area). If the volume of the silo is 550 m cubed, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials? Assume the silo has no floor and no flat ceiling under the dome.

Answer #1

A grain silo consists of a cylindrical concrete tower surmounted
by a metal hemispherical dome. The metal in the dome costs 2.1
times as much as the concrete (per unit of surface area). If the
volume of the silo is 600m^3
what are the dimensions of the silo (radius and height of the
cylindrical tower) that minimize the cost of the materials?
Assume the silo has no floor and no flat ceiling under the
dome.
What is the function of...

A grain silo consists of a cylindrical concrete lower surmounted
by a mental hemispherical dome. The metal in the dome costs 1.7
times as much as the concrete(per unit of a surface area). If the
volume of the silo is 950 m^3, what are the dimensions of the
silo(radius and height of the cylindrical tower) that minimize the
cost of the materials? Assume the silo has no floor and no flat
ceiling under the dome.
-what is the function of...

A grain silo has the shape of a right circular cylinder
surmounted by a hemisphere. If the silo is to have a volume of
516π ft3, determine the radius and height of
the silo that requires the least amount of material to build.
Hint: The volume of the silo is
πr2h
+
A grain silo has
the shape of a right circular cylinder surmounted by a hemisphere.
If the silo is to have a volume of 516π ft3,
determine the...

A grain silo has the shape of a right circular cylinder
surmounted by a hemisphere. If the silo is to have a volume of 498π
ft3, determine the radius and height of the silo that requires the
least amount of material to build. Hint: The volume of the silo is
πr^2h + 2 3 πr^3, and the surface area (including the floor) is
π(3r^2 + 2rh). (Round your answers to one decimal place.)
r= ft
h= ft

A grain silo consists of a cylindrical main section and a
hemispherical roof. If the total volume of the silo (including the
part inside the roof section) is 11,000 ft3 and the
cylindrical part is 30 ft tall, what is the radius of the silo,
correct to the nearest tenth of a foot?
r = ft
The real solutions of the given equation are rational. List all
possible rational roots using the Rational Zeros Theorem. (Enter
your answers as a comma-separated...

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