Find the surface area of a cone that has a radius of 9 m and a slant height of 27 m. Write your answer to two decimal places.
Question
Find the surface area of a cone that has a radius of 9 m and a slant height of 27 m. Write your answer to two decimal places.
Solution
The formula for the surface area of a cone is given by:
A = πr(r + l)
where:
- r is the radius of the base of the cone,
- l is the slant height of the cone.
Given that r = 9 m and l = 27 m, we can substitute these values into the formula:
A = π * 9 * (9 + 27)
Solving this gives:
A = π * 9 * 36
A = 324π m²
So, the surface area of the cone is 324π m². If we calculate this value using π ≈ 3.14, we get:
A ≈ 1017.88 m²
So, the surface area of the cone is approximately 1017.88 square meters, to two decimal places.
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