Question : The curved surface area of a solid circular cylinder of height 12 cm is 2640 cm2. What is the volume (in cm3) of the cylinder? (Take $\pi =\frac{22}{7}$)
Option 1: 46200
Option 2: 37900
Option 3: 42000
Option 4: 55200
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Correct Answer: 46200
Solution :
Given:
The curved Surface area of a cylinder = 2640 cm
2
⇒ $2πrh = 2640$
⇒ $r=\frac{2640}{2π×12}$
⇒ $r=\frac{2640×7}{2×22×12}$
⇒ $r =\frac{18480}{528}$
$\therefore r=35$ cm
So, the volume of cylinder = $πr^2h=\frac{22}{7}×(35)^2×12=46200$ cm
3
Hence, the correct answer is 46200.
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