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Scholars Journal of Physics, Mathematics and Statistics | Volume-11 | Issue-06 Call for paper
Minimum Surface Area of a Cake with Bigger Portion in Cylindrical Shape and Remaining Portion in Shape of a Spherical Cap
SN Maitra
Published: June 10, 2024 | 76 42
DOI: 10.36347/sjpms.2024.v11i06.001
Pages: 65-73
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Abstract
A cake is in the shape of a cylinder extended by spherical cap. Volume of the spherical cap is calculated in terms of its depth. With given volume of the stuff in the cake its minimum surface area is determined. Maximum volume of a cylinder surmounted by a cone and maximum volume of cylinder surmounted an inverted hemisphere are separately also determined.