Correct option is: C) \(\frac{2}{3}\) cm
Volume of cylinder = volume of the sphere.
= \(\pi r^2h = \frac 43 \pi r^3\)
= \(4 \times 4 \times h = \frac 43 \times 2 \times 2 \times 2\).
= h = \(\frac {16}3 \times \frac2{16} = \frac 23\)
Hence, the height of the cylinder is \(\frac 23\)cm
