The radii of the ends of the frustum of a cone are r1 and r2 cm and If h cm is the height of the frustum- then the volume of the frustum of the cone in cm 3 is

The radii of the ends of the frustum of a cone are r1 and r2 cm and if h cm is the height of the frustum, then the volume of the frustum of the cone in cm3 is ...

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Standard X

Mathematics

Volume of a Frustum

The radii of ...

Question

The radii of the ends of the frustum of a cone are r₁ and r₂cm and If h cm is the height of the frustum, then the volume of the frustum of the cone in cm³is _________.

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Solution

The radii of the ends of the frustum of a cone are r₁ and r₂cm and if h cm is the height of the frustum, then the volume of the frustum of the cone in cm³is $\frac{1}{3} π h (r_{1}^{2} + r_{2}^{2} + r_{1} r_{2})$ .

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