Answer:
[tex]\large\boxed{\large\boxed{100}}[/tex]
Explanation:
This question comes with four answer choices:
You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.
The jellybean jar is cylindrical, Thus, its volume is [tex]\pi \times radius^2\times height[/tex]
To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:
[tex]Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3[/tex]
The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):
[tex](2cm)^3=8cm^3\approx10cm^3[/tex]
Hence, a reasonable lower limit for the number of jellybeans in the jar is:
[tex]1,000cm^3/10cm^3=100[/tex]
