Question : If the volume of a cylinder is $5000\;m^3$ and its radius is 10 metres, then what is the approximate curved surface area of the cylinder? $(\pi= \frac{22}{7})$
Option 1: 954 $m^2$
Option 2: 1024 $m^2$
Option 3: 1000 $m^2$
Option 4: 968 $m^2$
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Correct Answer: 1000 $m^2$
Solution :
Given that: Volume of a cylinder = $5000\;m^3$
Radius = 10 metres
Volume of cylinder = $\pi r^2 h$
⇒ $5000 = \pi r^2 h$
⇒ $5000 = \frac{22}{7}\times 10\times 10\times h$
⇒ $h = \frac{175}{11}$
Curved surface area of cylinder = $2\pi r h$
Putting the values, we get
$= 2\times \frac{22}{7}\times 10\\\times\frac{175}{11}$
$=1000\;m^2$
Hence, the correct answer is $1000\ m^2$
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