A right cone has a slant height of 6 and a radius of 2. What is its surface area?A.16 units2B.48 units2C.24 units2D.12 units2
Question
A right cone has a slant height of 6 and a radius of 2. What is its surface area?
A. 16 units²
B. 48 units²
C. 24 units²
D. 12 units²
Solution
The surface area (SA) of a cone is given by the formula SA = πr(r + l) where r is the radius and l is the slant height.
Given that the radius (r) is 2 units and the slant height (l) is 6 units, we can substitute these values into the formula:
SA = π * 2 * (2 + 6) SA = π * 2 * 8 SA = 16π units^2
The value of π (Pi) is approximately 3.14, so the surface area is approximately 16 * 3.14 = 50.24 units^2.
However, this answer is not in the options. It seems there might be a mistake in the question or the answer choices. The correct answer should be approximately 50.24 units^2.
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