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kirill115 [55]
3 years ago
6

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?

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

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.

Nezavi [6.7K]3 years ago
6 0

the answer is 44.1 i think

hope this helps

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