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# The curved surface area of a cylinder is 1320 cm2

Question:

The curved surface area of a cylinder is $1320 \mathrm{~cm}^{2}$ and its base had diameter $21 \mathrm{~cm}$. Find the height and volume of the cylinder.

Solution:

Let, r be the radius of the cylinder

h be the height of the cylinder

⟹ 2r = 21cm

⟹ r = 21/2

= 10.5 cm

Given, Curved surface area (CSA) $=1320 \mathrm{~cm}^{2}$

⟹ 2πrh = 1320

⟹ 2 * 22/7 * 10.5 * h = 1320

⟹ h = 1320/66

⟹ h = 20 cm

Volume of cylinder $=\pi r^{2} * \mathrm{~h}$

= 22/7 * 10.5 * 10.5 * 20

= 22 * 1.5 * 10.5 * 20

$=6930 \mathrm{~cm}^{2}$