The surface area formula for a right cone is the same as the surface area formula for an oblique cone.A.TrueB.False
Question
The surface area formula for a right cone is the same as the surface area formula for an oblique cone.
A. True
B. False
Solution
Answer
The statement is A. True.
Explanation
The surface area of both right and oblique cones is computed using the same formula, which accounts for the circular base area and the lateral surface area.
The formula for the surface area of a cone (both right and oblique) is given by:
where:
- is the radius of the base of the cone,
- is the slant height of the cone.
Although right cones have their apex directly above the center of the base, and oblique cones do not, the mathematical representation for calculating the surface area remains consistent across both types. Thus, this statement is true since the physical shape difference does not influence the formula used for calculating the surface area.
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