A music store offers a prize to a customer who can guess the closest, the number of jelly beans that fill a litre jar on the counter. estimate the number of jelly beans in the jar if 1 jelly bean is approximately 2cm (h) by 1.5 cm in diametre (d)

Assuming a jar of (10cm)³.

Then a crude estimate is to line them up in all three directions:
(10/2)*(10/1.5)*(10/1.5)
=5*6.7*6.7
=225
Note that I have used a fractional number of beans because we don't really line them up perfectly. They will be crossed. Also, the space between two layers could be better used by placing a jellybean in the depression between two beans of the lower layer. This can be automatically done by shaking the jar after it's been filled.

See what others give, hopefully a more refined estimate.

222.2222222222222

To estimate the number of jelly beans in the jar, we need to calculate the volume of a single jelly bean and then divide the volume of the jar by the volume of a single jelly bean.

1. Calculate the volume of a single jelly bean:
- The height (h) of the jelly bean is given as 2 cm.
- The diameter (d) of the jelly bean is given as 1.5 cm.
- The radius (r) of the jelly bean can be calculated by dividing the diameter by 2: r = d/2 = 1.5 cm / 2 = 0.75 cm.
- The volume (V) of a sphere can be calculated using the formula: V = (4/3) * π * r^3.
- Substitute the values into the formula: V = (4/3) * π * (0.75 cm)^3.

2. Calculate the volume of the jar:
- The jar is given to have a volume of 1 liter.
- 1 liter is equivalent to 1000 cubic centimeters (cc).

3. Divide the volume of the jar by the volume of a single jelly bean to estimate the number of jelly beans:
- Since the volume of each jelly bean and the jar is in cubic centimeters, divide the volume of the jar by the volume of a single jelly bean (in cubic centimeters) to get an estimate of the number of jelly beans in the jar.

Remember that this is just an estimate since the actual shape of the jelly beans may not be an ideal sphere and there may be some space left between them in the jar.