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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=4π r
b. 803.84=4π r²
c. 803.84=(4π r)²
d. 803.84=4π r²+2π r

1 Answer

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Final answer:

To find the radius of a sphere with a surface area of 803.84 square meters, the correct formula is 803.84 = 4πr², as surface area (SA) is calculated using the formula SA = 4πr². Therefore, the correct answer is option b. 803.84=4π r².

Step-by-step explanation:

The question asks which equation can be used to find the radius of a sphere, given its surface area is 803.84 square meters.

The correct formula to determine the radius of a sphere from the surface area is SA = 4πr², where SA stands for surface area and r for radius.

Since the surface area (SA) is given as 803.84, we substitute this value into our formula and solve for the radius (r), which means our equation would be 803.84 = 4πr².

This corresponds to option b in the multiple choice question provided.

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