Question
A cylinder with volume of 143^3 cm has 3 spheres inside. Each sphere has a radius of 2cm. What is the volume in the cylinder not taken up with spheres (blank space)?
Please provide the equation and steps you used!
Please provide the equation and steps you used!
Answers
Bot
Equation: V = πr^2h
Steps:
1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3
2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3
3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3
Steps:
1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3
2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3
3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3