What is the difference between the amount of water that can be held by a sphere of diameter 1 centimeter and a cube 1 centimeter on a side? Use 3.14 for π.
Explanation
The volume of the cube is
\(V=s^{3}=1^{3}=1\)
The sphere, with radius r = 1/2 , has volume
\(V=\frac{4}{3} \pi r^{3} \approx \frac{4}{3} \times 3.14 \times \left(\frac{1}{2}\right)^{3}=\frac{4}{3} \times 3.14 \times \frac{1}{8}=3.14 \times \frac{1}{6}=0.523\)
The difference is 1 - 0.523 = 0.477 cubic centimeters. A is correct
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