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

User Cold
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2 Answers

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

I hope this helps!
User Faminator
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1 vote

Answer:

The volume of cylinder is 18 cubic inches.

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=(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* 6=18

Therefore the volume of cylinder is 18 cubic inches.

User Robert El
by
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