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  1. How to Calculate the Volume for a Lead Balloon to Float with …

    Nov 24, 2008 · The calculations involve using the mass of the lead shell and the helium gas, applying the formula for the volume of a sphere, and considering the density of lead and …

  2. Calculating the surface area of a sphere using dA - Physics Forums

    Apr 23, 2022 · This discussion focuses on calculating the surface area of a sphere using the differential area element dA. Participants clarify the necessity of using the cosine factor, rcosθ, …

  3. Comparing V and SA of a torus vs sphere • Physics Forums

    Feb 21, 2016 · The discussion centers on comparing the volume (V) and surface area (SA) of a torus and a sphere, particularly at the nanoscale level. The formulas used are V = 2π²Rr² and …

  4. Proving SA > (5)^ (0.5) for ABCD Tetrahedron w/ Inscribed Sphere

    Nov 4, 2005 · There is ABCD tetrahedron with inscribed sphere. S is a center of the sphere, radius of the sphere equates 1 and SA>=SB>=SC. Prove that SA>(5)^(0,5). I can't solve it ...

  5. Radiation - finding emissivity of a sphere • Physics Forums

    Mar 8, 2021 · The discussion centers on calculating the emissivity of a sphere using the equation e = dQ/dt / (A * 5.67E-8 * T^4). The surface area of the sphere is calculated as 136.8478 m², …

  6. What is a Photon Sphere: Definition and Properties

    Jul 23, 2014 · A photon sphere is a spherical surface surrounding a non-rotating black hole, defined by the radius of 3M, where M is the mass-equivalent radius of the body. All photon …

  7. Surface w/ max volume and min surface area • Physics Forums

    May 16, 2006 · The geometric surface that encloses the maximum volume with the minimum surface area is a sphere. This conclusion is supported by the calculus of variations, which …

  8. Hollow and solid spheres floating in liquid - Physics Forums

    Sep 5, 2020 · The two situations are shown in the figures alongside. The hollow sphere has a thick heavy rim that compensates for the air inside it - both spheres have the same mass …

  9. Optimization, cylinder in sphere - Physics Forums

    Oct 13, 2009 · The discussion focuses on optimizing the surface area of a right circular cylinder inscribed in a sphere of radius R. The surface area (SA) is defined as SA = 2πr² + 2πrh, with …

  10. Finding the Angle of Cut for a Spherical Fruit Slice

    May 15, 2016 · You can look up the formula for the surface area of a sphere. It's not something which is top secret. I'm surprised you know the formula for the volume of a sphere, but not the …