Question

A right cylindrical shaped oil tank of height 40 m is completely filled in 20 minutes. If oil filled at a rate of 8$\pi$ cubic meter per minute, then the radius of the tank is _____.

• A.
  2 m
• B.
  3 m
• C.
  2√3 m
• D.
  3√2 m

Answer 1

The correct option is A

2 m
Volume of the cylinder = $\pi r^{2}h$
Oil in the container = $8\pi \times 20$
Oil in the container = volume of the cylinder
$\Rightarrow$ $8\pi \times 20$ = $\pi r^{2}40$
$\Rightarrow$ r = 2 m