a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylinder. What is the volume of the cone?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Given :
Volume of cylinder = 24 cm³
We know,
Volume of cylinder = πr²h
And, Volume of cone = 1/3πr²h
Radius of cylinder = Radius of cone
But, Height of cone = 2× height of cylinder
Now, putting values, we get
So, Volume of cone = 1/3 × πr² × 2h
= 2/3 × πr²h
= 2/3 × 24
= 16 cm³
Thus, Volume of cone is 16 cm³