Question:
Tick (✓) the correct answer:
The diameter of a cylinder is 14 cm and its curved surface area is 220 cm2. The volume of the cylinder is
(a) 770 cm3
(b) 1000 cm3
(c) 1540 cm3
(d) 6622 cm3
Solution:
(a) $770 \mathrm{~cm}^{3}$
Diameter $=14 \mathrm{~cm}$
Radius $=7 \mathrm{~cm}$
Now, curved surface area $=2 \pi \mathrm{rh}=220 \mathrm{~cm}^{2}$
$\Rightarrow h=\frac{220 \times 7}{2 \times 22 \times 7}=5 \mathrm{~cm}$
$\therefore$ Volume $=\pi \mathrm{r}^{2} \mathrm{~h}=\frac{22}{7} \times 7 \times 7 \times 5=770 \mathrm{~cm}^{3}$
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