Question

he formula for the surface area of a sphere is A = 4πr2. Which equation correctly solves the equation for r? A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π

Answer 1

To solve for r in the equation for the surface area of a sphere, A = 4πr^2, we can use the formula for finding the square root of a number:

sqrt(x) = x^(1/2)

Therefore, to find the value of r that satisfies the equation A = 4πr^2, we can take the square root of both sides of the equation:

sqrt(A) = sqrt(4πr^2)

This simplifies to:

r = sqrt(A / 4π)

Therefore, the correct equation that solves for r is:

r = sqrt(A / 4π)

This means that the correct answer is (C) r = A 4π.

Answer 2

Answer: C

Step-by-step explanation: To solve the equation for r, we need to isolate the r term on one side of the equation. The correct equation to do this is:

r = √(A / (4π))

Therefore, the correct answer is option C: r = A / (4π).