Ng2001
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What is the volume of a sphere with a surface area of ​ 16π ​ft²?

A. 8π ​ ft³

B. 1023π ​​ ft³

C. 2113π ​ ft³

D. 8513π ft³

Respuesta :

The volume of the circle is: 10.7π ft³.

Surface Area and Volume of a Sphere

  • Surface Area = 4πr²
  • Volume = 4/3πr³

Given:

Surface area = 16π ft²

Therefore:

4πr² = 16π

4r² = 16

r = 2 ft

Volume of the Sphere = 4/3π(2)³

Volume = 10.7π ft³

Therefore, the volume of the sphere is: 10.7π ft³.

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Answer:

B. 10 2/3pi ft^3

Step-by-step explanation:

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