Mark (✓) against the correct answer:


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


(a) $28 \mathrm{~m}$

Volume of the cuboid $=16 \times 11 \times 8=1408 \mathrm{~m}^{3}$

Volume of the cylinder $=\pi \mathrm{r}^{2} \mathrm{~h}=1408 \mathrm{~m}^{3}$

$\therefore h=\frac{1408 \times 7}{22 \times 4 \times 4}=28 \mathrm{~m}$

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