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Mathematics

The radius and height of a solid metallic cone are r cm each. The volume of the cone is :

  1. 13πr2\dfrac{1}{3}πr^2

  2. 43πr2\dfrac{4}{3}πr^2

  3. 13πr3\dfrac{1}{3}πr^3

  4. 43πr3\dfrac{4}{3}πr^3

Mensuration

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Answer

By formula,

Volume of cone = 13π\dfrac{1}{3}π × (radius)2 × height

Given,

Radius and Height of a solid metallic cone are r cm each.

Volume of cone = 13π×r2×r=13πr3\dfrac{1}{3}π \times r^2 \times r = \dfrac{1}{3}πr^3.

Hence, Option 3 is the correct option.

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