The curved surface area of a cylinder is 4400 cm

Question:

The curved surface area of a cylinder is 4400 cm2 and the circumference of its base is 110 cm. Find the volume of the cylinder.

Solution:

Curved surface area $=2 \pi r h=4400 \mathrm{~cm}^{2}$

Circumference $=2 \pi \mathrm{r}=110 \mathrm{~cm}$

Now, height $=h=\frac{\text { curved surface area }}{\text { circumference }}=\frac{4400}{110}=40 \mathrm{~cm}$

Also, radius, $r=\frac{4400}{2 \pi \mathrm{h}}=\frac{4400 \times 7}{2 \times 22 \times 40}=\frac{35}{2}$

$\therefore$ Volume $=\pi \mathrm{r}^{2} \mathrm{~h}=\frac{22}{7} \times \frac{35}{2} \times \frac{35}{2} \times 40=22 \times 5 \times 35 \times 10=38500 \mathrm{~cm}^{3}$

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