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ASSIGNMENT - THE SPHERE
Zone
1. A wooden ball 11.15 in diameter sinks to a depth of 9.37 in. in water. Find the area of the wetted Surface
2. A candle 8 ft 6 in. from the surface of a sphere 12 ft. in diameter Find the area of the surface illuminated.
3. Find the volume of the earth's atmosphere if it extends 50 miles in height and the earth is considered a sphere of 2960- mile radius.
4. What will it cost to gild the surface of a globe whose radius is 11/2 decimeters, at an average cost of 3/5 cent per square centimeter?
5. A top consist of a spherical segment and a cone. If the altitude of the segment is 1 in., the radius of the common base 3 in., and the altitude of the cone 6 in., find: (a) the total surface of the top; (b) the volume of the top.
6. A terrestrial globe is 20 in. in diameter. A plane is passed so as to cut from the globe a circular section 16 in. in diameter. Find the area of the smaller zone determined by this section.
A steel wire 30 ft long, hanging vertically, supports a load of 500 lb. Neglecting the weight of the wire, determine the required diameter if the stress is not to exceed 20 ksi and the total elongation is not to exceed 0.20 in. Assume E = 29 × 106..
2a.) Find A dot B if A = 3e1+ 5e2-e3 and B = e1 -e2+ e3 if e1 dot e1 = 2, e2 dot e2 = 3, e3 dot e3 = 5, e1 dot e2 = -1, e1 dot e3 = -3, e2 dot e3 = 2
1)Convert the binary number (0.1000)2 to decimal. 2)The number (17)10 represented as an unsigned, 6-bit binary number is 3)The number (-25)10 in 6-bit sign magnitude format is 4)The number (32)10 in 6-bit 2's complement is
consider the set of activities, duration (in days), and predecessors for a project given below. a) Develop a network diagram representation for the project. b) Determine the critical path. c) Determine the float time for all activities that are not o..
A 2400-115V transformer has a sinusodial flux expressed by φ=0.113 sin 188.5t. determine the primary and secondary turns.
Two pointcharges, Q1 and Q2,are located at (1,2,0) and (2,0,0) respectively. Find the relation between the valuesofQ1 and Q2 suchthat the total force on a test charge atpoint P = (-1, 1, 0) has (a)no x-component, or (b)no y-component.
The company finds it efficient to periodically replace all the bulbs in the building at the same time. After how many ours should all the bulbs be simultaneously replaced to ensure that no more than 20% of bulbs have failed before they are replace..
In the architecture of Fig., assume the two resistors have a mismatch of R. Compute the IRR.
We need to combine (in series or in parallel) an unknown inductance L with a second inductance of 4H to attain an equivalent inductance of 3H. Should L be placed in series or in parallel with the original inductance? What value is required for L?
If vector a + vector b + vector c = 0, and magnitude of vector a = 3, magnitude of vector b = 5, and magnitude of vector c = 7, find the angle between vector a and vector b.
(1) Can we have Darlington transistor made up of an NPN and a PNP or do the two transistors have to be of the same type (2) Amplifiers has a power gain of 1,000 or 30dB. Where is that power coming from
Apply Mesh Analysis to calculate the current flowing through Resistor R2 in the below sketch:
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