You cannot use the surface area formula for a right cone to find the surface area of an oblique cone.A.TrueB.False

Analyzing the Statement

1. Understanding Surface Area of Cones:

   • The surface area of a cone (both right and oblique) includes the base area and the lateral (side) area. For a right cone, the formula is derived using the shape's perpendicular height. For an oblique cone, where the apex does not align directly above the center of the base, the lateral area calculation differs due to the angle of the slant height.

2. Applying Surface Area Formulas:

   • The formula for the surface area $S$ of a right cone is given by: $S = \pi r (r + l)$ where $r$ is the radius of the base and $l$ is the slant height.
   • For an oblique cone, although you can use a similar approach for the lateral surface area, it is important to note that the calculation assumes specific techniques to find the slant height, which may not directly translate from the right cone formula.

Conclusion

3. Evaluating the True/False Statement:
   • The statement claims that you cannot use the surface area formula for a right cone to find that of an oblique cone. This is True in the sense that the calculation methods differ, though principles may overlap.

Final Answer

A. True