20 POINTS! WILL MAKE BRAINLIESTWhich of the following solid figures have a volume of 36π cubic units? Select all that apply. 1.a sphere with a radius of three units 2.a cone with a diameter of twelve units and a height of three units 3.a cylinder with a diameter of six units and a height of one unit 4.a cone with a radius of three units and a height of four units

1.a sphere with a radius of three units

 By definition, the volume of a sphere is:
 [tex]V = ( \frac{4}{3} ) (\pi) (r ^ 3) [/tex]
 Substituting values we have:
 [tex]V=(\frac{4}{3})(\pi)(3^3)[/tex]
 Rewriting we have:
 [tex]V = (4) (\pi) (3 ^ 2) V = (4) (\pi) (9) V = 36\pi[/tex]

 2.a cone with a diameter of twelve units and a height of three units
 
 By definition, the volume of a cone is given by:
 [tex]V = \frac{1}{3} (\pi) (r ^ 2) (h) [/tex]
 Substituting values we have:
 [tex]V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3) [/tex]
 Rewriting we have:
 [tex]V = (\pi) (6 ^ 2) V = 36\pi[/tex]