Question

Adanna had a glass cylinder with a radius of 6 cm and a height of 25 cm. She placed 3 balls, each with a diameter of 6 cm, into the cylinder. She filled the rest of the cylinder with colored water.

How many cubic centimeters of colored water did she use?
Use 3.14 to approximate pi and express your answer in hundredths.

The answer was 2486.88

Answer 1

Volume of one ball : V=4/3*pi*(6*2)^3~113.04 cl^3

Volume of three balls : 3*V=339.12 cm^3

Volume of the cylinder : W=pi*6^2*25~2826cm^3

Hence the colored water occupies W-3V=2486.88cm^3