Question : A conical tent has a radius of 7m and a vertical height of 24m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 2m3 ?
Option 1: 566
Option 2: 616
Option 3: 716
Option 4: 650
Correct Answer: 616
Solution :
The radius of the conical tent, $r$ = 7 m
Height of the tent, $h$ = 24 m
Volume of the conical tent = $\frac13\pi r^2h$
$= \frac13 \times 3.14\times (7)^2\times 24 = 1230.88\ m^3$
Volume of the bag = $2\ m^3$
Number of bags that can be emptied $= \frac{\text{Volume of tent}}{\text{Volume of bag}}$
$n= \frac{1230.88}{2} = 615.44\approx 616$
Hence, the correct answer is 616.
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