The radius of the cone id 1.75 inches an the height id 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches what is the closest approximation of the volume of the cone

Explanation:

We need to know the volume of the cone that can be filled with bubble gum ball, but firstly we need to calculate the volume of the cone and the volume of the buble gum ball (a sphere) :

Volume of the cone:

(1)

Where:

is the radius of the cone

is the height of the cone

(2)

(3) This is the volume of the cone

Volume of the gum ball:

(4)

Where:

is the radius of the sphere (half the diameter)

(5)

(6) This is the volume of the gum ball

Know we are able to find the closest approximation of the volume of the cone that can be filled with bubble gum ball, by calculating the difference or substracting (6) from (3):

(7)

Finally:

(8)

d. stage 4

explanation:

the existence of some kind of demographic transition is widely accepted in the social sciences because of the well-established historical correlation linking dropping fertility to social and economic development.[1] scholars debate whether industrialization and higher incomes lead to lower population, or whether lower populations lead to industrialization and higher incomes. scholars also debate to what extent various proposed and sometimes inter-related factors such as higher per capita income,lower mortality, old-age security, and rise of demand for human capital are involved.[2]