How to find the focal length of a lens (Problem with a task)

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To find the focal length of a lens, the Lensmaker's Equation is essential, particularly when dealing with the refractive indices of two centers and the radii of curvature of spherical surfaces. The equation relates these parameters to determine the focal length accurately. Users seeking this information often struggle to locate comprehensive resources online. The Lensmaker's Equation can be found on platforms like Wikipedia, which provides detailed explanations and examples. Understanding this equation is crucial for solving lens-related problems effectively.
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Homework Statement
Determine the optical power of a biconvex lens, with a radius of curvature of both spherical surfaces of 20 cm each, which is made of glass with a refractive index of 1.83 in water. The refractive index for water is 1.33
Relevant Equations
Optical power=1/focal length of lens
Hello. I need formulas for the focal length of a lens when I have refractive indices of two centers and two radii of curvature of spherical surfaces or one radius of curvature of spherical surfaces. I search the internet but can't find it.
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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