Question

the volume of the cylinder correct to one decimal place.

• A. $500$ $c{m}^3$
• B. $1000$ $c{m}^3$
• C. $250$ $c{m}^3$
• D. Data Insufficient

Answer 1

The correct option is A $500$ $c{m}^3$

Cylinder's diameter $=20$ cm $\Rightarrow r=10$ cm
Area of the curved surface $=100$ $c{m}^2$
$\therefore A=2\pi rh$
$\therefore 100=2\times 10\times \pi h$
$\therefore \pi h=5$
Volume of cylinder $\left(V\right)=\pi r^{2}h$
$\therefore V={10}^2\times 5$
$\therefore V=500$ $c{m}^3$