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The volume of a spherical balloon is 3054 cm^3. Find the surface area of the balloon to the nearest whole number.

1 Answer

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The surface area of a sphere can be found using the formula:

Surface Area = 4πr²

where r is the radius of the sphere.

To find the surface area of the balloon, we first need to find the radius. We can use the formula for the volume of a sphere to find the radius:

Volume = (4/3)πr³

3054 = (4/3)πr³

r³ = 3054 x (3/4π)

r = 9

Now that we know the radius is 9 cm, we can use the formula for surface area to find the answer:

Surface Area = 4πr²

Surface Area = 4π(9)²

Surface Area ≈ 1018

Therefore, the surface area of the balloon is approximately 1018 cm².
User DrPepperJo
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