PLEASE HELP ASAP!! At a frozen yogurt store, customers can purchase gelatin spheres as a yogurt topping. Each sphere contains 100.48/3 cubic millimeters of gelatin. Which statements about the measurements of the sphere are true? Check all that apply. (Use 3.14 for π. Recall that the formula for the volume for a sphere is V= 4/3πr³ .)The radius of a sphere is 8 millimeters.The radius of a sphere is 2 millimeters.The circumference of the great circle of a sphere is 9.42 square millimeters.The surface area of a sphere is 50.24 square millimeters.The circumference of the great circle of a sphere is 12.56 square millimeters.The surface area of a sphere is 25.12 square millimeters.

Answer:The radius of a sphere is 2 millimetersThe surface area of a sphere is 50.24 square millimeters.The circumference of the great circle of a sphere is 12.56  millimeters. Step-by-step explanation:Verify each statementcase A) The radius of a sphere is 8 millimetersThe statement is falsewe know thatThe volume of the sphere is equal to[tex]V=\frac{4}{3}\pi r^{3}[/tex]we have[tex]V=100.48/3\ mm^{3}[/tex][tex]\pi =3.14[/tex]substitute and solve for r[tex]100.48/3=\frac{4}{3}(3.14)r^{3}[/tex][tex]r^{3}=(100.48)/(4*3.14)[/tex][tex]r=2\ mm[/tex]     case B) The radius of a sphere is 2 millimetersThe statement is True(see the case A)case C) The circumference of the great circle of a sphere is 9.42 square millimeters  The statement is falseThe units of the circumference is millimeters not square millimetersThe circumference is equal to[tex]C=2\pi r[/tex]we have[tex]r=2\ mm[/tex]  [tex]\pi =3.14[/tex]substitute[tex]C=2(3.14)(2)[/tex][tex]C=12.56\ mm[/tex]case D) The surface area of a sphere is 50.24 square millimeters.The statement is TrueBecauseThe surface area of the sphere is equal to[tex]SA=4\pi r^{2}[/tex]we have[tex]r=2\ mm[/tex]  [tex]\pi =3.14[/tex]substitute[tex]SA=4(3.14)(2)^{2}[/tex][tex]SA=50.24\ mm^{2}[/tex]case E)  The circumference of the great circle of a sphere is 12.56  millimeters.  The statement is truesee the case Ccase F) The surface area of a sphere is 25.12 square millimetersThe statement is falsebecause the surface area of the sphere is [tex]SA=50.24\ mm^{2}[/tex]see the case D