Question:
Mark (✓) against the correct answer:
A cuboid having dimensions 16 m × 11 m × 8 m is melted to form a cylinder of radius 4 m. What is the height of the cylinder?
(a) 28 m
(b) 14 m
(c) 21 m
(d) 32 m
Solution:
(a) $28 \mathrm{~m}$
Volume of the cuboid $=16 \times 11 \times 8=1408 \mathrm{~m}^{3}$
Volume of the cylinder $=\pi \mathrm{r}^{2} \mathrm{~h}=1408 \mathrm{~m}^{3}$
$\therefore h=\frac{1408 \times 7}{22 \times 4 \times 4}=28 \mathrm{~m}$