Mikita is painting a spherical model of a human cell for a science fair. she uses 452.16 square inches of paint to evenly cover the outside of the cell with one coat of paint. what is the diameter of the cell model? (use 3.14 for the value of π.) a.) 6 in b.) 12 in c.) 24 in d.) 36 in

 The correct option is (B) 12 in.

Step-by-step explanation:  Given that Mikita is painting a spherical model of a human cell for a science fair and she uses 452.16 square inches of paint to evenly cover the outside of the cell with one coat of paint.

We are to find the diameter of the cell model.

We know that

the surface area of a sphere with radius r units is given by

For the given spherical-shaped cell model, we have

Since the radius of the cell cannot be negative, so radius, r = 6 in.

Therefore, the diameter of the cell model will be

Thus, (B) is the correct option.

b

step-by-step explanation: