The top of a conical container has a circumference of 308 m. Water flows

Question

The top of a conical container has a circumference of 308 m. Water flows in at a rate of 12 m $^{3}$ every 2 secs. When will the container be half filled, if its depth is 12m.

Options:

A . 42 min

B . 68 min

C . 54 min

D . 82 min

Answer: Option A
:
A

Ans:a 2 $π$ r=308 2 $\times$ $(\frac{22}{7}) \times r$ = 308 Find half volume of conical container.

Time reqd: $\frac{v o l o f \frac{1}{2} c o n t a i n e r}{f l o w r a t e}$ = $\frac{15078.28}{6}$ = 2520; $\frac{2520}{60}$ =42min

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