Question
What is the slant height if the radius is 13 and the area is 1142.96
Answers
Answered by
GPT 3.5
The area of a cone can be calculated using the formula:
Area = π * r * (r + l)
where r is the radius of the cone's base and l is the slant height.
Given the radius (r) as 13 and the area as 1142.96, we can rearrange the formula to solve for l:
Area = π * 13 * (13 + l)
1142.96 = 13π * (13 + l)
Dividing both sides by 13π:
87.68 = 13 + l
Subtracting 13 from both sides:
l = 74.68
Therefore, the slant height (l) is approximately 74.68.
Area = π * r * (r + l)
where r is the radius of the cone's base and l is the slant height.
Given the radius (r) as 13 and the area as 1142.96, we can rearrange the formula to solve for l:
Area = π * 13 * (13 + l)
1142.96 = 13π * (13 + l)
Dividing both sides by 13π:
87.68 = 13 + l
Subtracting 13 from both sides:
l = 74.68
Therefore, the slant height (l) is approximately 74.68.