Question

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Answer 1

The volume of the cylinder is $\pi r^2 h$. The volume of a sphere is $\frac 4 3 \pi r^3$. In our problem r is the same for both the cylinder and the sphere.

$\pi r^2 h - \frac 4 3 \pi r^3 = \pi(2^2(3) - \frac 4 3 2^3) = \pi(12 - 32/3) = \frac 4 3 \pi \approx 4.19 \textrm{ cubic inches}$

Answer: 4.19 cubic inches