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.
Similar Questions
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
A cone has a surface area of 24𝜋 square feet. Its base has a circumference of 6𝜋 feet. What is the slant height of the cone?
The circumference of base of a right circular cone is 88 cm. if the height of the cone is 28 cm, then what is the curved surface area of the cone
The slant height of a cone is increased by 10% and its radius is doubled. What is the percentage increase in the surface area of the cone?
Find the volume of the cone below if the radius r = 24 cm and the height h = 34 cm (Round your answer to the nearest tenth.)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.