A sphere has a surface area of 5431 m2. Find the volume of the sphere.
Question
A sphere has a surface area of 5431 m2. Find the volume of the sphere.
Solution
Sure, here are the steps to find the volume of the sphere:
Step 1: Use the formula for the surface area of a sphere, which is 4πr² = Surface Area. Here, the surface area is given as 5431 m².
Step 2: Solve for r (radius).
4πr² = 5431 r² = 5431 / (4π) r = sqrt(5431 / (4π))
Step 3: Use the radius to find the volume with the formula for the volume of a sphere, which is V = 4/3πr³.
Step 4: Substitute the value of r from step 2 into the volume formula to find the volume of the sphere.
Please note that you will need a calculator to compute the square root and the final volume.
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