Sphere: 4/3*pi*r3
Tetrahedron: s3*sqrt(2)/12
Cube: s3
Octahedron: s3*sqrt(2)/3
Dodecahedron: s3*[15+7*sqrt(5)]/4
Icosahedron: s3*5/12*(3+sqrt(5)
where r is the radius and s is the length of each edge.
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You find the length and height of the shape, them you find the volume
A pentagon is a 2-D shape. You can't find the volume of it unless it's 3-D. The formula for the area of a pentagon has something to do with the perimeter, the number of sides, the apothem, and the number 2.
You get the area by using formulas. There is usually a specific formula to find the area of each shape. Some irregular shaps may not have a formula.
use the formula 4/3*π*radius3 to find the volume of a sphere.