Surface Area of a Sphere Using Calculus

To calculate the surface area of a sphere, you can use the PI function together with the exponent operator (^). In the example shown, the formula in C5, copied down, is: =4*PI()*B5^2 which calculates the surface area of a sphere with the radius given in column B. Units are indicated generically with "u", and the result is units squared (u2).

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$Reflectra on Instagram: "Calculating the surface area of a sphere using slicing is a fascinating approach that combines geometry and calculus. By imagining the sphere sliced into infinitely thin circular cross-sections (like stacking coins), you can sum the areas of these slices to find the total surface area. Mathematically, if you take a slice at height y, its radius is \sqrt{r^2 - y^2}, giving a circle area of \pi (r^2 - y^2). Integrating these slices around the sphere using calculus techniqu$