Question
Calculate the curved surface area of a solid cone of base radius 14cm and vertical height 6cm
Answers
GPT 3.5
To calculate the curved surface area of a solid cone, we need to find the slant height first.
The slant height can be calculated using the Pythagorean theorem:
Slant height (l) = √(base radius^2 + height^2)
l = √(14^2 + 6^2)
l = √(196 + 36)
l = √232
l ≈ 15.26 cm
Now, we can calculate the curved surface area (CSA) using the formula:
CSA = π * base radius * slant height
CSA = π * 14 * 15.26
CSA ≈ 677.97 cm²
Therefore, the curved surface area of the solid cone is approximately 677.97 cm².
The slant height can be calculated using the Pythagorean theorem:
Slant height (l) = √(base radius^2 + height^2)
l = √(14^2 + 6^2)
l = √(196 + 36)
l = √232
l ≈ 15.26 cm
Now, we can calculate the curved surface area (CSA) using the formula:
CSA = π * base radius * slant height
CSA = π * 14 * 15.26
CSA ≈ 677.97 cm²
Therefore, the curved surface area of the solid cone is approximately 677.97 cm².