Question

An orange is 9 cm in diameter. If 2/9 of it is juice, how much can you get from 7 such oranges. Assume that the orange is a sphere.

Two-thirds of the juice is poured into a cylindrical container 14 cm high and diameter 7 cm. How many ice-
cubes, each of sides 3 cm, can be added before the juice begins to overflow?

Answer 1

• 5 ice cubes

Explanation:

Volume of each orange:

• V = 4/3πr³ = 4/3*3.14*(9/2)³ = 381.51 cm³

Volume of juice from 7 oranges:

• 381.51*7*2/9 = 593.46 cm³

Juice poured into a container:

• 593.46*2/3 = 395.64 cm³

Volume of the container:

• V = πr²h = 3.14*(7/2)²*14 = 538.51 cm³

Empty part of the container after juice is poured:

• 538.51 - 395.64 = 142.87 cm³

Volume of each ice cube:

• V = a³ = 3³ = 27 cm³

Number of ice cubes to fill the containers' volume:

• 142.87/27 = 5.29

5 ice cubes can be added, the juice will overflow if 6th ice cube is added