MA - Calculus on Instagram: "Deriving the volume of a hemisphere using spherical coordinates takes advantage of the symmetrical nature of the sphere to simplify the calculation. Spherical coordinates are particularly useful when working with spheres and hemispheres because they divide space not only in the radial direction, but also along angles that circumscribe the entire space. In spherical coordinates, you describe a point in space by its distance from the origin, called the radius, plus two

Peter Math on Instagram: "I used Parrot AI to edit this, link in bio👆 Triple integrals extend the idea of integration into three dimensions, allowing us to measure volume, mass, and other properties inside a solid region. Instead of adding up tiny slices along a line or patches on a surface, we now sum infinitely small “blocks” that fill up a 3D space. This gives us a powerful way to handle problems involving density, temperature, or any quantity that varies throughout a volume. What makes trip