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The surface area of a sphere is 803.84 square meters. Which equation can be used to find the radius of the sphere? Recall the formula SA=4πr².

A. 803.84=4πr
B. 803.84=4πr²
C. 803.84=(4πr)²
D. 803.84=4πr²+2πr

User Macbeth
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1 Answer

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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.

User Niyati
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