Question : The curved surface area of a solid cylinder of height 15 cm is 660 cm2. What is the volume (in cm3) of the cylinder? $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 2060
Option 2: 2540
Option 3: 2310
Option 4: 3210
Correct Answer: 2310
Solution :
Let the radius of the cylinder be $r$.
Given, the height of the cylinder, $h$ = 15 cm
Curved surface area = $2\pi rh = 660\ \text{cm}^2$
$⇒r = \frac{660\times 7}{22 \times h\times 2}$
$⇒r = \frac{4620}{44 \times 15}$
$\therefore r = 7\ \text{cm}$
Now, Volume of the cylinder is $=\pi r^2h=\frac{22}{7}\times7\times7\times15= 2310\ \text{cm}^3$
Hence, the correct answer is 2310 cm
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