Determine the diameter, to the nearest inch, of a large can of tuna fish that has a volume of 66 inches and a height of 3.3 inches.

The diameter of the tuna fish is 5.048 inches, If it has a volume of 66 inches and a height of 3.3 inches.

Step-by-step explanation:

The given is,

         A volume of tuna fish is 66 inches

         Height of tuna fish is 3.3 inches

Step:1

        Let, V - Volume of the tuna fish

               h - Height of tuna fish

        Where,

               V - 66 cubic inches

               h - 3.3 inches

Step:2

      Formula to calculate the area is,

                Area,

                              =

                          A = 20 square inches

Step:3

     Formula to calculate the radius,

                     Radius,  

                                    =

                                    r  =

                                   r = 2.524 inches

Step:4

       Formula to calculate the diameter,

                                       = 2 × 2.524

                                  d = 5.048 inches

Result:

       Thus the diameter of the tuna fish is 5.048 inches, If it has a volume of 66 inches and a height of 3.3 inches.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have