If a cone and a cylinder have the same base and same height, then what is the ratio of the Volume of Cylinder to the Volume of the cone?

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Solution

We are given that both cone and cylinder have the same base and the same height. Therefore,
Volume of cylinder : Volume of cone = $\frac{π r^{2} h}{\frac{1}{3} π r^{2} h} = 3 : 1$

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If a cone and a cylinder have the same base and same height, then what is the ratio of the Volume of Cylinder to the Volume of the cone?

We are given that both cone and cylinder have the same base and the same height. Therefore, Volume of cylinder : Volume of cone = πr2h13πr2h=3:1

We are given that both cone and cylinder have the same base and the same height. Therefore,
Volume of cylinder : Volume of cone = $\frac{π r^{2} h}{\frac{1}{3} π r^{2} h} = 3 : 1$