Question

An average clementine is shaped like a sphere and has a dismeter of 3.5 inches. What is the volume of the fruit? Round your answer to the nearest hundredth.

Answer 1

Answer:

Step-by-step explanation:

We have given that the shape of clementine is sphere .

It has diameter of  3.5 inches .

Radius is half of the diameter .

                    Diameter                   3.5

Radius   =  --------------------  =   ---------------  inches

                         2                              2

                                          4

Volume of sphere   = -----------   pi r³

                                          3

Plug the value of  ' r ' and ' pi 'in this formula , we get  

                              4             22            3.5           3.5            3.5

Volume , V  =     --------  *   -------- *   (   --------)  * ( ------- )  * (-------- )

                              3              7               2                2               2

                          22

where  pi  =   ----------  .

                            7

                            3773

Volume  , V  =    -----------  =  22.4583 cubic inches .

                              168

Round to nearest hundredth , we get  Volume of the fruit as 22.45 cubic inches .