To find the slant height of the cone, we can use the formula for the total surface area of a cone:
Total surface area = πr(r + l)
where r is the radius of the cone, and l is the slant height.
In this case, the total surface area is given as 625 in^2, and the radius is given as 5 in.
625 = π(5 + l)
To solve for l, we can rearrange the equation as:
l = (625 - 25π)/π
Using π ≈ 3.14, we can substitute in the values to find:
l ≈ (625 - 25(3.14))/3.14
l ≈ (625 - 78.5)/3.14
l ≈ 546.5/3.14
l ≈ 174.24
Rounding to the nearest whole number, the slant height is approximately 174 in.
None of the given answer choices match the correct solution.
The total surface area of a cone is 625 in.2 . If the radius of the cone is 5 in., what is the slant height of the cone? Round the answer to the nearest whole number.(1 point)
Responses
38 in.
38 in.
17 in.
17 in.
120 in.
120 in.
35 in.
1 answer
2 answers