Question

give an example of frastun of a right circular cone​

Answer 1

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☘ Frustum of a Right Circular :

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• Frustum of a right circular cone is that portion of right circular cone included between the base and a section parallel to the base not passing through the vertex.

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☘ Properties of Frustum of Right Circular Cone :

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• The altitude of a frustum of a right circular cone is the perpendicular distance between the two bases. It is denoted by h.

• All elements of a frustum of a right circular cone are similar to a cone. Here, slant height is denoted by L.

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⚒ The formula of Frustum of a Right Circular Cone :

• CSA = $\:\sf{π}$L(R + r)

• TSA = $\:\sf{π}\:$L(R + r) + $\:\sf{π}$R² + $\:\sf{π}$r²

• Volume, V = $\:\sf{\dfrac{πh}{3}}$(R² + Rr + r²).

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⚒ Example :

• Question: Find the volume of a frustum of a right circular cone with height 20, lower base radius 34 and top radius 19.

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☀ Solution :

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Given,

• h = 20
• R = 34
• r = 19

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Using Formula :

• Volume, V = $\:\sf{\dfrac{πh}{3}}$(R² + Rr + r²).

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$\:\:\:\:\:\:\dashrightarrow\:$V = $\:\sf{\dfrac{π\:×\:20}{3}}\:$(34² + 34 × 19 + 19²)

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$\:\:\:\:\:\:\dashrightarrow\:$V = 14420 $\sf{π}\:$ cubic units Ans✨

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Answer 2

Step-by-step explanation:

Frustum of a right circular cone is that portion of right circular cone included between the base and a section parallel to the base not passing through the vertex. The altitude of a frustum of a right circular cone is the perpendicular distance between the two bases. It is denoted by h.