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I think we just need to know the basic shapes and understand the concepts. For doing a simple drawing, s is a sphere, p has the two balloons up and down, and d has 4 long balloons going north south east and west. I think you'll only need to know those three, and you can see that as the orbital number L increases, the orbital becomes more complicated.
The different shapes of orbitals are s(spherical shape with no nodal planes), p(2 lobes on either side of nucleus with a nodal plane at the nucleus), d(3 have lobes located on XY-YZ-ZX planes, 1 has lobes located on x & y planes, 1 has lobes located along z-axis & donut in XY plane), and f(which are complicated). The s shape is always shaped as a sphere, the p look like dumbbells, and d orbitals look like clovers. I doubt we will need to draw them on the test.
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