Multiple choice

The volume of material of a hollow sphere with external radius 10 cm and internal diameter 6 cm is nearly

  1. 4077 $\displaystyle cm^{3}$
  2. 4070 $\displaystyle cm^{3}$
  3. 4007 $\displaystyle cm^{3}$
  4. 4073 $\displaystyle cm^{3}$
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A Correct answer
Explanation

Volume of hollow sphere = (4/3) * pi * (R^3 - r^3). R = 10, r = 3 (radius is half of diameter 6). V = (4/3) * 3.14159 * (1000 - 27) = (4/3) * 3.14159 * 973 = 4077.15. This is approximately 4077.

AI explanation

Using the volume of a hollow sphere formula V = (4/3) * pi * (R^3 - r^3), the external radius R is 10 cm and the internal radius r is 3 cm. Substituting these values gives V = (4/3) * pi * (10^3 - 3^3), which equals (4/3) * pi * 973. Calculating this results in approximately 4077 cm^3.

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