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NikAS [45]
3 years ago
15

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics
2 answers:
Viktor [21]3 years ago
7 0

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the volume of a cone is 12 cubic inches.

The volume of a cone is

V_1=\frac{1}{3}\pi r^2h

Put V₁=12 in the value equation.

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

Multiply both sides by 3.

36=\pi r^2h               .... (1)

Where, r is radius of base, h is height.

It is given that the cone fits exactly inside of the cylinder. It means the height and the radius of the cylinder is same.

The volume of a cylinder is

V_2=\pi r^2h

Using equation (1) we get

V_2=36

The volume of cylinder is 36 cubic inches. Therefore the correct option is 3.

Stells [14]3 years ago
5 0
36in^3
as the volume of a cone is 1/3 that of the volume of a cylinder the smallest cylinder that the cone can fit inside of is one that is exactly 3x its the volume
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