Author: J007BOND

Calculating the Volume of a Truncated Cone 1. Vertical Cut °

Find the volume V of the shaded portion on the right side of the cross-section when a right circular cone with radius R and base angle δ is cut vertically (parallel to the central axis).

Calculating the Volume of a Truncated Cone 2. An oblique cut where the cut surface is tangent to the base°

When a right circular cone with radius R and base angle δ is cut by a plane that is tangent to the edge of the base and intersects the base at an angle γ, calculate the volume V of the portion to the right of the cut (the shaded area) and the volume Vu of the remaining portion(the portion to the left of the cross-section, not shaded) are to be calculated.

Calculating the Volume of a Truncated Cone 3A. The angle of the oblique cut is less than the base angle by °

Calculate the volume V of the portion on the right side of the cross-section (the shaded area) when a right circular cone with radius R and base angle δ is cut by a plane that intersects the base at an angle γ.

Calculating the Volume of a Truncated Cone 3B. Angle of the oblique cut = Base angle °

Calculate the volume V of the portion to the right of the cross-section (the shaded area) when a right circular cone with radius R and base angle δ is cut by a plane that intersects the base at an angle γ.

Calculating the Volume of a Truncated Cone 3C. When the angle of the oblique cut is greater than the base angle

Calculate the volume V of the portion on the right side of the cross-section (the shaded area) when a right circular cone with radius R and base angle δ is cut by a plane that intersects the base at an angle γ.