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.

The radius of a sphere is 2 millimeters

The 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 statement

case A) The radius of a sphere is 8 millimeters

The statement is false

we know that

The volume of the sphere is equal to

we have

substitute and solve for r

case B) The radius of a sphere is 2 millimeters

The 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 false

The units of the circumference is millimeters not square millimeters

The circumference is equal to

we have

substitute

case D) The surface area of a sphere is 50.24 square millimeters.

The statement is True

Because

The surface area of the sphere is equal to

we have

substitute

case E)  The circumference of the great circle of a sphere is 12.56  millimeters.  

The statement is true

see the case C

case F) The surface area of a sphere is 25.12 square millimeters

The statement is false

because the surface area of the sphere is

see the case D

answer   download the app called socratic on your phoner:

step-by-step explanation:

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step-by-step explanation: