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Question Number 197961 by cherokeesay last updated on 06/Oct/23
  A cylindrical container is designed to contain bees. At exactly 12:00pm, there are 2 bees in the container. At every 1 min, the total number of bees in the container is doubled. By 1.00pm, the container is full of bees. At what time is the container   A. Half full of the bees   B. Quarter full of the bees   C. 1/8th full of the bees  D. 1/16th full of the bees  Note: you can assume any size of the cylindrical container, and all bees are of equal size. Show working
$$ \\ $$A cylindrical container is designed to contain bees. At exactly 12:00pm, there are 2 bees in the container. At every 1 min, the total number of bees in the container is doubled. By 1.00pm, the container is full of bees. At what time is the container
A. Half full of the bees
B. Quarter full of the bees
C. 1/8th full of the bees
D. 1/16th full of the bees
Note: you can assume any size of the cylindrical container, and all bees are of equal size. Show working
Commented by mr W last updated on 06/Oct/23
Commented by cherokeesay last updated on 06/Oct/23
thank you sir !
$${thank}\:{you}\:{sir}\:! \\ $$
Commented by mr W last updated on 06/Oct/23
totally there are 2^(61) ≈2.3×10^(18)  bees  in the container at 1.00 pm.
$${totally}\:{there}\:{are}\:\mathrm{2}^{\mathrm{61}} \approx\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{18}} \:{bees} \\ $$$${in}\:{the}\:{container}\:{at}\:\mathrm{1}.\mathrm{00}\:{pm}. \\ $$
Commented by Frix last updated on 06/Oct/23
1 bee = 0.1g  2^(61)  bees ≈ 2.3×10^(14) kg  2^(61)  bees are enough bees for 650000 earth  like planets  2.3×10^(14) kg  is the weight of a passenger  train of a length reaching 3134 times around   our planet or 327 times to the moon.
$$\mathrm{1}\:\mathrm{bee}\:=\:\mathrm{0}.\mathrm{1}{g} \\ $$$$\mathrm{2}^{\mathrm{61}} \:\mathrm{bees}\:\approx\:\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{14}} {kg} \\ $$$$\mathrm{2}^{\mathrm{61}} \:\mathrm{bees}\:\mathrm{are}\:\mathrm{enough}\:\mathrm{bees}\:\mathrm{for}\:\mathrm{650000}\:\mathrm{earth} \\ $$$$\mathrm{like}\:\mathrm{planets} \\ $$$$\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{14}} {kg}\:\:\mathrm{is}\:\mathrm{the}\:\mathrm{weight}\:\mathrm{of}\:\mathrm{a}\:\mathrm{passenger} \\ $$$$\mathrm{train}\:\mathrm{of}\:\mathrm{a}\:\mathrm{length}\:\mathrm{reaching}\:\mathrm{3134}\:\mathrm{times}\:\mathrm{around}\: \\ $$$$\mathrm{our}\:\mathrm{planet}\:\mathrm{or}\:\mathrm{327}\:\mathrm{times}\:\mathrm{to}\:\mathrm{the}\:\mathrm{moon}. \\ $$

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