Question
In: Math
An observatory is to be in the form of a right circular cylinder surmounted by a...
An observatory is to be in the form of a right circular cylinder surmounted by a hemispherical dome. If the hemispherical dome costs 10 times as much per square foot as the cylindrical wall, what are the most economic dimensions for a volume of 10000 cubic feet?
Solutions
milcah answered 2 years agoRelated Solutions
A right circular cylinder is measured to have a mass of 1178.0 +/- 0.1 g, a...
A right circular cylinder is measured to have a mass of 1178.0
+/- 0.1 g, a diameter of 2.50 +/- 0.01 cm and a height of 30.48 +/-
0.01 cm.
a. Look up the volume equation for a right circular cylinder.
Remember that a radius is 1/2 the diameter.
b. The density is mass divided by volume. Find the density using
significant figures rules.
c. Find the density with error bars using the max/min
method.
d. Using a table of...
The volume of a right circular cylinder with base radius ? and height ℎ is given...
The volume of a right circular cylinder with base radius ? and
height ℎ is given by: ? = ??^2ℎ. If the base radius is decreasing
at a rate of 3 inches per minute and the height is increasing at a
rate of 2 inches per minute, at what rate is the volume of the
cylinder changing when the radius is 8 inches and the height is 3
inches. Will the volume be increasing or decreasing at this
instant? Be...
find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...
find the dimensions and volume of the right circular cylinder of
maximum volume inscribed in a sphere with radius 50cm
A Gaussian surface in the shape of a right circular cylinder with end caps has a...
A Gaussian surface in the shape of a right circular cylinder
with end caps has a radius of 16.4 cm and a length of 68.1 cm.
Through one end there is an inward magnetic flux of 36.6 μWb. At
the other end there is a uniform magnetic field of 1.40 mT, normal
to the surface and directed outward. What are the
(a) magnitude and (b) direction
(inward or outward) of the net magnetic flux through the curved
surface?
A Gaussian surface in the shape of a right circular cylinder with end caps has a...
A Gaussian surface in the shape of a right circular cylinder
with end caps has a radius of 10.3 cm and a length of 64.6 cm.
Through one end there is an inward magnetic flux of 19.0 μWb. At
the other end there is a uniform magnetic field of 2.18 mT, normal
to the surface and directed outward. What are the
(a) magnitude and (b) direction
(inward or outward) of the net magnetic flux through the curved
surface?
A Gaussian surface in the shape of a right circular cylinder with end caps has a...
A Gaussian surface in the shape of a right circular cylinder
with end caps has a radius of 15.0 cm and a length of 89.7 cm.
Through one end there is an inward magnetic flux of 20.2 ?Wb. At
the other end there is a uniform magnetic field of 2.00 mT, normal
to the surface and directed outward. What is the magnitude of the
net magnetic flux through the curved surface?
An infinitely long right circular cylinder has radius ?. There is a non-constant cylindrically symmetric volume...
An infinitely long right circular cylinder has radius ?. There
is a non-constant cylindrically symmetric volume charge density
?(?), where ? is the (radial) distance from the axis of the
cylinder, given by ?(?) = ((?0*?)/?)sin((2??)/?), where ?0 is a
constant.
1. Consider a concentric cylinder with radius ? and length ?.
Compute the total charge ?(?) inside the cylinder for 0 < ? <
? and for ? > ?.
2. Go back to the infinite cylinder setup and...
The tank in the form of a right-circular cone of radius 7 feet and height 39...
The tank in the form of a right-circular cone of radius 7 feet
and height 39 feet standing on its end, vertex down, is leaking
through a circular hole of radius 4 inches. Assume the friction
coefficient to be c=0.6 and g=32ft/s^2 . Then the equation
governing the height h of the leaking water is
dhdt=_______________
If the tank is initially full, it will take _________ seconds to
empty.
A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with...
A solid cylinder, a thin hollow cylinder (with circular
cross-section), and a thick hollow cylinder (with a donut cross
section), of equal masses radii, are simultaneously released from
rest at the top of an inclined plane and roll without slipping down
the plane. Which object reaches the bottom of the inclined plane
first?
A) The solid cylinder
B) The thin hollow cylinder
C) The thick hollow cylinder
D) All objects reach the bottom at the same time
Please provide explanation.
1. An infinitely long non-conducting right-circular cylinder of radius a, oriented concentrically with the z-axis, carries...
1. An infinitely long non-conducting right-circular cylinder of
radius a, oriented concentrically with the z-axis, carries uniform
charge density ?0. It is surrounded concentrically by an infinite
long grounded right-circular conducting cylindrical shell of inner
radius b and outer radius c. Ground potential is zero.
(a) (4 points) What is the linear charge density (charge per unit
length) ? of the inner nonconducting cylinder.
(b) (4 points) What are the linear charge densities (charge per
unit length) ? on the...
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