How do you find the volume of a solid by slicing?
Use the slicing method to derive the formula V = 1 3 πr2 h for the volume of a circular cone. If a region in a plane is revolved around a line in that plane, the resulting solid is called a solid of revolution, as shown in the following figure. Figure 2.15 (a) This is the region that is revolved around the x-axis.
How do you find the cross-section of a rectangle?
Cross-Sectional Area of a Rectangular Solid The volume of any rectangular solid, including a cube, is the area of its base (length times width) multiplied by its height: V = l × w × h. Therefore, if a cross section is parallel to the top or bottom of the solid, the area of the cross-section is l × w.
What is rectangular cross-section?
The cross section of a rectangular pyramid is a rectangle. Cross sections are usually parallel to the base like above, but can be in any direction.
How do you convert cross-sectional area to volume?
The volume of any rectangular solid, including a cube, is the area of its base (length times width) multiplied by its height: V = l × w × h. Therefore, if a cross section is parallel to the top or bottom of the solid, the area of the cross-section is l × w.
What is mean by slicing method?
The slicing method is a method of economic analysis used in microeconomics for in-depth study of economic units. In this method, the economy is divided or ‘sliced’ into smaller units like individual households, individual firms etc.
What is volume of A rectangle?
The equation for calculating the volume of a rectangle is shown below: volume= length × width × height.
How do you find the rectangular cross-section?
What is cross-sectional area of rectangle?
Cross-Sectional Area of a Rectangular Solid Therefore, if a cross section is parallel to the top or bottom of the solid, the area of the cross-section is l × w. If the cutting plane is parallel to one of the two sets the sides, the cross-sectional area is instead given by l × h or w × h.
How do you find the cross-sectional area of A rectangular duct?
Students often measure the outside of a rectangular duct in inches, and multiply the length by the width to determine the cross sectional area in square inches.
What is slicing and lumping method?
When the aggregate is divided into small units for the purpose of study of each unit in depth, it is called as slicing method. When the economy is not split up into small slices; but it is studied in big lumps as it is, it is called as lumping method.
What is a cross-section of a solid?
A cross section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross section of an object therefore represents an infinitesimal “slice” of a solid, and may be different depending on the orientation of the slicing plane.