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PROBLEM 5.57
Verify that the expressions for the volumes of the first four shapes in Fig. 5.21 are correct.
PROBLEM 5.58
Knowing that two equal caps have been removed from a 10-in.-diameter
wooden sphere, determine the total surface area of the remaining portion.
PROBLEM 5.59
Three different drive belt profiles are to be
studied. If at any given time each belt
makes contact with one-half of the
circumference of its pulley, determine the
contact area between the belt and the
pulley for each design.
PROBLEM 5.60
Determine the capacity, in liters, of the punch bowl
shown if R 250 mm.
PROBLEM 5.61
Determine the volume and total surface area of the bushing shown.
PROBLEM 5.61 (Continued)
LE
PROBLEM 5.62
Determine the volume and weight of the solid brass knob shown, knowing
that the specific weight of brass is 0.306 lb/in3.
Area, in2 ,in.y 3
,inyA
1 2
(0.75) 0.4418
4
0.8183 0.3615
2 (0.5)(0.75) 0.375 0.25 0.0938
3 (1.25)(0.75) 0.9375 0.625 0.5859
4 2
(0.75) 0.4418
4
0.9317 0.4116
0.6296
33
2 2 (0.6296 in ) 3.9559 inVyA
3
3.96 inV
33
(0.306 lb/in )(3.9559 in )WV
1.211 lbW
PROBLEM 5.63
Determine the total surface area of the solid brass knob shown.
PROBLEM 5.64
The aluminum shade for the small high-intensity lamp shown has a uniform thickness of 1 mm. Knowing
that the density of aluminum is 2800 kg/m
3
, determine the mass of the shade.
PROBLEM 5.65*
The shade for a wall-mounted light is formed from a thin
sheet of translucent plastic. Determine the surface area of the
outside of the shade, knowing that it has the parabolic cross
section shown.
