Which of the following solid figures have a volume of 36π cubic units? Select all that apply. a sphere with a radius of three units a cone with a diameter of twelve units and a height of three units a cylinder with a diameter of six units and a height of one unit a cone with a radius of three units and a height of four units

1. Sphere with a radius R=3 units has volume [tex]V_1= \frac{4}{3} \pi R^3=\frac{4}{3} \pi 3^3=36\pi[/tex];

2. Cone with a diameter D=12 units and a height H=3 units has volume:  [tex]V_2= \frac{1}{3} \pi R^2\cdot H=\frac{1}{3} \pi ( \frac{D}{2} )^2\cdot H=\frac{1}{3} \pi 6^2\cdot 3=36\pi[/tex];
3. Cylinder with a diameter D=6 units and a height H=1 unit has volume: [tex]V_3=\pi R^2\cdot H=\pi ( \frac{D}{2} )^2\cdot H=\pi 3^2\cdot 1=9\pi[/tex];

4. Cone with a radius R=3 units and a height H=4 units has volume:
[tex]V_4= \frac{1}{3} \pi R^2\cdot H=\frac{1}{3} \pi 3^2\cdot 4=12\pi[/tex].

Hence in first and second parts you obtain the volume equal to 36π and in third and fourth not equal.