Final answer:
To find the number of gumballs that will fit in the globe, calculate the volume of the globe and the volume of a gumball. The volume of a sphere is (4/3)πr^3. Divide the volume of the globe by the volume of the gumball and round to the nearest whole number.
Step-by-step explanation:
To find the number of gumballs that will fit in the globe, we need to calculate the volume of the globe and the volume of a gumball. The volume of a sphere can be found using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the diameter of the gumball is 1 inch, so the radius is 0.5 inches. Substitute this value into the formula to find the volume of the gumball. Then, divide the volume of the globe by the volume of the gumball to find the number of gumballs that will fit. Finally, round the answer to the nearest whole number.
Let's calculate:
Volume of gumball = (4/3)π(0.5)^3 ≈ 0.523 cubic inches
Volume of globe = (4/3)π(6371)^3 ≈ 1.084 x 10^12 cubic inches
Number of gumballs that will fit = (1.084 x 10^12) / 0.523 ≈ 2.07 x 10^12
Rounded to the nearest whole number, approximately 2,070,000,000,000 gumballs will fit in the globe.