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Find the radius of a sphere with a surface area of 1024π square inches

User Edan
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1 Answer

6 votes

Answer:

R = 16 in

Explanation:

The formula of a Surface Area of a sphere:


S.A.=4\pi R^2

R - radius

We have


S.A.=1024\pi\ in^2

Substitute:


4\pi R^2=1024\pi divide both sides by π


4R^2=1024 divide both sides by 4


R^2=256\to R=√(256)\\\\R=16\ in

User Ian Huff
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8.8k points