Question

The volume of a cylinder is three times of the volume of a cone with same base and same height. Is it true or false

Answer 1

The given statement is true.

• The volume of a cylinder is three times the volume of a cone with the same base and same height.
• The formula for the volume of a cylinder is πr²h and the formula for the volume of a cone is 1/3πr²h, both having the same height and base.
• Now, from the formulas of the volume of both cone and cylinder, we can conclude that the volume of a cylinder is three times the volume of a cone with the same base and same height.

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Answer 2

Answer:

Yes, it is true. The volume of a cylinder is three times of the volume of a cone with the same base and same height.

Step-by-step explanation:

• The volume of the cylinder = πr²h

• The volume of a cone = $\frac{1}{3}$ πr²h

           where r is the radius

                      h is the height

• Now Multiply the volume of the cone by '3', we get

                  3($\frac{1}{3}$ πr²h) = πr²h

   So, 3 times the volume of the cone is equal to the volume of the cylinder.

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