The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

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Solution

The height of the frustum cone is h = 12 cm. The radii of the bottom and top circles are r₁ = 12cm and r₂ = 3cm respectively.

The slant height of the frustum cone is

The total surface area of the frustum cone is

Hence

The volume of the frustum cone is

Hence

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The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

The height of the frustum cone is h = 12 cm. The radii of the bottom and top circles are r1 = 12cm and r2 = 3cm respectively. The slant height of the frustum cone is The total surface area of the frustum cone is Hence The volume of the frustum cone is Hence

The height of the frustum cone is h = 12 cm. The radii of the bottom and top circles are r₁ = 12cm and r₂ = 3cm respectively.

The slant height of the frustum cone is

The total surface area of the frustum cone is

Hence

The volume of the frustum cone is

Hence