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. 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
$${thank}\:{you}\:{sir}\:! \\ $$
Commented by mr W last updated on 06/Oct/23
$${totally}\:{there}\:{are}\:\mathrm{2}^{\mathrm{61}} \approx\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{18}} \:{bees} \\ $$$${in}\:{the}\:{container}\:{at}\:\mathrm{1}.\mathrm{00}\:{pm}. \\ $$
Commented by Frix last updated on 06/Oct/23
$$\mathrm{1}\:\mathrm{bee}\:=\:\mathrm{0}.\mathrm{1}{g} \\ $$$$\mathrm{2}^{\mathrm{61}} \:\mathrm{bees}\:\approx\:\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{14}} {kg} \\ $$$$\mathrm{2}^{\mathrm{61}} \:\mathrm{bees}\:\mathrm{are}\:\mathrm{enough}\:\mathrm{bees}\:\mathrm{for}\:\mathrm{650000}\:\mathrm{earth} \\ $$$$\mathrm{like}\:\mathrm{planets} \\ $$$$\mathrm{2}.\mathrm{3}×\mathrm{10}^{\mathrm{14}} {kg}\:\:\mathrm{is}\:\mathrm{the}\:\mathrm{weight}\:\mathrm{of}\:\mathrm{a}\:\mathrm{passenger} \\ $$$$\mathrm{train}\:\mathrm{of}\:\mathrm{a}\:\mathrm{length}\:\mathrm{reaching}\:\mathrm{3134}\:\mathrm{times}\:\mathrm{around}\: \\ $$$$\mathrm{our}\:\mathrm{planet}\:\mathrm{or}\:\mathrm{327}\:\mathrm{times}\:\mathrm{to}\:\mathrm{the}\:\mathrm{moon}. \\ $$