Final answer:
To find the radius of a sphere given its surface area, the correct equation is SA=4πr². In this case, the equation would be 803.84=4πr², which is option B in the student's question.
Step-by-step explanation:
The student is asking for the correct equation to find the radius of a sphere given its surface area. The formula to calculate the surface area of a sphere is given as SA = 4πr², where SA is the surface area, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
To find the radius, you rearrange the formula to solve for r, given the surface area. This leads you to the equation: 803.84 = 4πr², which corresponds to option B in the multiple-choice question provided. Therefore, to find the radius, you would isolate r by dividing both sides of the equation by 4π and then taking the square root of the result.