Question

In how much time, the cylindrical pond having radius $3.5$ m and depth $7$m can be filled by a tap which gives the water at the rate of $60$ litres per minute?

• A. $32.06$ hours
  
• B. $3.06$ hours
• C. $320$ hours
• D. $12.06$ hours

Answer 1

Answer: (A)

$32.06$ hours

Volume of pond $=\pi r^{2}h$

$=\pi \times {\left(3.5\right)}^2\times 7$

$=115.45\pi m^3$

Volume in litre $=115.45\times {10}^{3}l$

Time $=\frac{115.45\times {10}^3}{60}$ min

$=1924.1667$ min

$=32.06$ hours