Question

A necklace has a single pearl with a radius of 2.1 millimeters. What is the volume of the pearl? Round to the nearest tenth

Answer 1

The volume of pearl is 39 cubic millimeters, if A necklace has a single pearl with a radius of 2.1 millimeters.

Step-by-step explanation:

The given is,

                   Pearl with a radius of 2.1 millimeters

Step:1

                   Pearl shape general looks like a sphere,

                   Volume of sphere,

                                                 $V= \frac{4}{3}r^{3}$...............................(1)

                  Where, r - Radius of sphere

                  From the given values,

                                         r - 2.1 millimeters

                  Equation (1) becomes,

                                                    $= \frac{4}{3}\pi (2.1)^{3}$

                   Substitute the value of $\pi$,

                                                    $= (1.33333333)(\frac{22}{7} ) (9.261)$          ( ∵ $\pi = \frac{22}{7}$ )

                                                    $=(4.190476)(9.261)$  

                                                    = 38.79

                                                    ≅ 39 cubic millimeters

                   Volume of pear, V = 39 cubic millimeters    

Result:

             The volume of pearl is 39 cubic millimeters, if A necklace has a single pearl with a radius of 2.1 millimeters.