The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
           A cylinder and a cone have the same volume
           Cylinder has a radius 2 inches and height of 3 inches.
           Cone has a radius of 3 inches
Step:1
            For Cylinder'
            Formula to calculate the volume of cylinder is,
                          ..................................................(1)
..................................................(1)
           where,
                       r - 2 inches
                       h - 3 inches
          From the equation (1)
                            =  ×
 ×  × 3
 × 3
                            = 37.70 
                         V = 37.70 cubic inches
Step:2
          For cone,
          Formula to calculate the volume of cone is,
                       ..................................................(2)
..................................................(2)
          From the statement,
                       cylinder and a cone have the same volume
                        =
 = 
                           37.70 =  ×
 ×  ×
 × 
                           37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
             Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
 
        
             
        
        
        
As you know 30/45 = 6/9 
So a = 9 makes the equation true
        
             
        
        
        
Step-by-step explanation:

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