A right cone has a slant height of 6 and a radius of 4. What is its surface area?A.56 units2B.16 units2C.24 units2D.40 units2
Question
A right cone has a slant height of 6 and a radius of 4. What is its surface area?
A. 56 units²
B. 16 units²
C. 24 units²
D. 40 units²
Solution
The surface area (SA) of a cone is calculated using the formula:
SA = πr(r + l)
where r is the radius and l is the slant height.
Given that the radius (r) is 4 units and the slant height (l) is 6 units, we can substitute these values into the formula:
SA = π * 4 * (4 + 6) SA = π * 4 * 10 SA = 40π
Therefore, none of the options A, B, C, or D is correct. The surface area of the cone is 40π square units.
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