Question

A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of

Answer 1

Answer:

The volume of cylinder is 18 cubic inches.

Step-by-step explanation:

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

Let the radius of cone and cylinder be r and height of cone and cylinder be h.

The volume of cone is

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

The volume of cylinder is

$V_2=\pi r^2h$

It means the volume of cylinder is 3 times of the volume of cone.

$V_2=3V_1$

The volume of cone is 6 cubic inches. The volume of cylinder is

$V_2=3\times 6=18$

Therefore the volume of cylinder is 18 cubic inches.

Answer 2

Work:
A cone is 1/3 of a cylinder
3 * 6 = 18 cubic centimeters
Answer: 18 cubic centimeters

I hope this helps!