Sketch a cone, cylinder, and sphere, each with congruent radii and each with a volume of 36pi cubic centimeters. What are the dimensions of each figure? Use the volume formulas to show that their volumes are in fact equal.

Question

Sketch a cone, cylinder, and sphere, each with congruent radii and each with a volume of 36pi cubic  centimeters. What are the dimensions of each figure?  Use the volume formulas to show that their volumes are in fact equal.

anonymous · Answer

Volume Formulas
Cone   V = 1/3pir^2h
           36 = 1/3pir^2h....choose a radius and keep it for all 3 figures. Solve for h to get other diminsion of the cone.

Cylinder V=pir^2h
            36 = pir^2h....use the same radius as above; solve for h

Sphere  V = 4/3Pir^3
            36 = 4/3pir^3....again use the same radius as above

Sketch pictures using these dimensions

anonymous · Answer

oh!! ok thanks a lot for looking over my question!! I appreciate your help. <3

anonymous · Answer

You're welcome