24 июл. 2017 г. · To get the volume of the cross section we can integrate from the corner xy(3−y) to x. Calculating volume of a sphere using cross-sectional area Why is the volume of a sphere - 4 - 3 - Math Stack Exchange Why isn't the volume of a sphere - 2 - Math Stack Exchange mean cross-sectional area of a sphere with radius 1 Другие результаты с сайта math.stackexchange.com |
10 окт. 2024 г. · The volume of this sphere can be found by the definite integral: where y is the function of x describing the curve which is to be rotated about the x-axis. |
1 нояб. 2024 г. · This is the formula we expect to see for the volume of a sphere, V = 4 3 π r 3 . The above derivation used a cross-section perpendicular to the ... |
18 февр. 2022 г. · To calculate the volume of a cylinder, then, we simply multiply the area of the cross-section by the height of the cylinder: V=A⋅h. In the case ... |
8 июн. 2016 г. · A cross-section of a sphere is just a circle, so you would use the equation A=(pi)*r^2, where r is the radius of the circle created by the cross ... |
Of all shapes, a sphere has the smallest surface area for its volume. ... The area of the cross section is πa2, which is π(r2 - x2). The radius of the ... |
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