Question : The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2. What is the volume of this cylinder? [Use $\pi$ $\left.=\frac{22}{7}\right]$
Option 1: 1388 m3
Option 2: 0.001368 m3
Option 3: 0.1386 m3
Option 4: 0.01386 m3
Correct Answer: 0.01386 m 3
Solution :
Given: Height = 10 cm
Curved surface area = 1320 cm
2
We know that,
Curved surface area of cylinder = $2\pi r h$
⇒ $1320=2\pi r h$
⇒ $1320=2\times\frac{22}{7}\times r\times10$
⇒ $r=21$
Now, Volume of cylinder = $\pi r^2 h$
$= \frac{22}{7}\times 21\times 21\times10$
$= 13860$ cm
3
$=\frac{13860}{1000000}=0.01386$ m
3
Hence, the correct answer is 0.01386 m
3
.
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