The total surface area of a cone whose radius is R/2 and slant height 2L i
Question
The total surface area of a cone whose radius is R/2 and slant height 2L i
Solution
The total surface area (A) of a cone is given by the formula:
A = πr(l + r)
where:
- r is the radius of the base of the cone
- l is the slant height of the cone
In this case, the radius is given as R/2 and the slant height as 2L. Substituting these values into the formula gives:
A = π(R/2)(2L + R/2)
Simplify the equation:
A = π(RL + R²/4)
So, the total surface area of the cone is π(RL + R²/4).
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