a) 4 cm
b) $$\frac{13}{3}$$ cm
c) $$\frac{14}{3}$$ cm
d) 5 cm
Answer: c
Explanation: Let the height of the cylinder be h cm
$$\eqalign{
& \frac{4}{3}\pi \left[ {{{\left( 4 \right)}^3} – {{\left( 2 \right)}^3}} \right] = \pi \times {4^2} \times h \cr
& \frac{4}{3} \times \pi \times 56 = \pi \times 16h \cr
& h = \frac{{4 \times 56}}{{3 \times 16}} \cr
& h = \frac{{14}}{3}\,cm \cr} $$
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