Question

Consider the cylinder with a volume of 132π cm3. What is the volume of a cone with the same radius and height as the cylinder?

Answer 1

Answer:

The volume of a cone is 44π cm³.

Step-by-step explanation:

It is given that the volume of the cylinder is 132π cm³.

The volume of cylinder is

$V_1=\pi r^2h$

The volume of cone is

$V_2=\frac{1}{3}\pi r^2h$

$V_2=\frac{1}{3}V_1$

Where, h is height and r is radius.

It means if the radius and height of cone and cylinder are same, then the volume of cone is one third of volume of cylinder.

The volume fo cylinder is 132π cm³. So, the volume of cone is

$V=\frac{1}{3}\times 132$

$V=44$

Therefore the volume of a cone is 44π cm³.

Answer 2

the answer is 44.1 i think

hope this helps