3. Luis wants to calculate the volume of his globe. The globe is in the shape of a sphere, as represented in
the picture. He measured the circumference of the globe along the equator to be 72 inches.
Which of the following measures is closest to the volume of Luis's globe?

Respuesta :

The measure which is closest to the volume of Luis's globe is; 6301.2in³

Volume of a sphere

If the circumference of the globe along the equator is 72inches along the equator;

  • C = 72 = 2π× r

Hence, the radius of the globe can be evaluated as;

  • r = 72/(2×3.14)

  • r = 72/6.28

r = 11.46in.

On this note, the Volume, V of the globe is;

  • V = (4/3) × π × r³

  • V = (4/3) × 3.14 × 11.46³

V = 6301.2in³

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