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To the nearest tenth of a cubic centimeter, give the volume of a sphere with a surface area of 1,000 square centimeters.​

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Answer:

To find the volume of a sphere with a surface area of 1,000 square centimeters, we need to use the formula for the surface area of a sphere and solve for the radius first.

The formula for the surface area of a sphere is:

Surface Area = 4πr²

Given that the surface area is 1,000 square centimeters, we can solve for the radius (r) using the formula:

1,000 = 4πr²

Divide both sides of the equation by 4π:

r² = 1,000 / (4π)

r² = 250 / π

Now, we can find the radius (r) by taking the square root of both sides:

r = √(250 / π)

Once we have the radius, we can calculate the volume of the sphere using the formula:

Volume = (4/3)πr³

Substituting the value of the radius, we can calculate the volume to the nearest tenth of a cubic centimeter.

Explanation:

User Linny
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