Problem 01
Water is flowing into a vertical cylindrical tank at the rate of 24 ft³/min. If the radius of the tank is 4 ft, how fast is the surface rising?
 

Problem 02
Water flows into a vertical cylindrical tank at 12 ft³/min, the surface rises 6 in/min. Find the radius of the tank.
 

Problem 675
Repeat Prob. 674 for the overhanging beam shown in Fig. P-675.
 

Problem 674
Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.
 

Problem 673
For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L² - 4b²).
 

In simply supported beams, the tangent drawn to the elastic curve at the point of maximum deflection is horizontal and parallel to the unloaded beam. It simply means that the deviation from unsettling supports to the horizontal tangent is equal to the maximum deflection. If the simple beam is symmetrically loaded, the maximum deflection will occur at the midspan.
 

A spherical wedge is a solid formed by revolving a semi-circle about its diameter by less than 360°. Spherical Lune is the curve surface of the wedge, it is a surface formed by revolving a semi-circular arc about its diameter by less than 360°.
 

A spherical sector is a solid generated by revolving a sector of a circle about an axis which passes through the center of the circle but which contains no point inside the sector. If the axis of revolution is one of the radial sides, the sector thus formed is spherical cone; otherwise, it is open spherical sector.
 

Spherical segment is a solid bounded by two parallel planes through a sphere. In terms of spherical zone, spherical segment is a solid bounded by a zone and the planes of a zone's bases.
 

Zone
A zone is that portion of the surface of the sphere included between two parallel planes.
 

Sphere is a solid bounded by closed surface every point of which is equidistant from a fixed point called the center.