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heather7113
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I need to find the volume of this figure y=sinx, y=sinx + 2, x=4, x=-4 using the area of triangular cross sections. i don't really know where to start...how to find the formula for area of cross section etc. HELP!
heather7113 said:I need to find the volume of this figure y=sinx, y=sinx + 2, x=4, x=-4 using the area of triangular cross sections. i don't really know where to start...how to find the formula for area of cross section etc. HELP!
heather7113 said:The cross sections are equilateral triangles. And I have drawn a sketch - I'm just not sure what the integral should be - like what is the formula for the base of the triangle. I know the formula is sgrt 3 x b / 4 I just don't really know what to plug in and what the numbers should be...?
The formula for finding volume by cross section area is V = A * L, where V is the volume, A is the cross section area, and L is the length of the object.
The cross section area can be found by measuring the length and width of the object and then multiplying them together. It can also be found by using geometric formulas such as the area of a circle or triangle.
Yes, the volume by cross section area can be found for any 3D object as long as the cross section area remains constant throughout the length of the object.
The units for volume and cross section area will depend on the units used for length. For example, if length is measured in meters, then volume will be in cubic meters and cross section area will be in square meters.
The accuracy of the volume by cross section area method will depend on the accuracy of the measurements used for length and cross section area. The smaller the intervals used for measuring, the more accurate the result will be.