Question : The lateral surface area of a cylinder is 1056 cm2 and its height is 16 cm. Find its volume.
Option 1: 4545 cm3
Option 2: 4455 cm3
Option 3: 5445 cm3
Option 4: 5544 cm3
Correct Answer: 5544 cm 3
Solution :
Given: Lateral surface area of a cylinder = 1056 cm
2
Height ($h$) = 16 cm
Let the radius be $r$.
Lateral surface area of cylinder = $2\pi r h$
⇒ $1056 = 2×\frac{22}{7}×r×16$
⇒ $r = \frac{1056×7}{2×22×16}$ = $\frac{21}{2}$
Now, Volume of cylinder = $\pi r^2 h$
= $\frac{22}{7}×\frac{21}{2}×\frac{21}{2}×16$
= 5544 cm$^3$
Hence, the correct answer is 5544 cm$^3$.
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