Find in term of paddock of surface area of a cone with circular base diameter 10 cm and height 12cm
The formula for the surface area of a cone is:
S = πr² + πrl
where:
S = surface area
r = radius of the circular base
l = slant height
To find the radius, we need to divide the diameter by 2:
r = 10 cm ÷ 2 = 5 cm
To find the slant height, we can use the Pythagorean theorem:
l² = r² + h²
l² = 5² + 12²
l² = 169
l = √169
l = 13 cm
Now we can plug in the values in the formula:
S = πr² + πrl
S = π(5 cm)² + π(5 cm)(13 cm)
S = π(25 cm²) + π(65 cm²)
S = π(90 cm²)
S ≈ 282.7 cm²
Therefore, the surface area of the cone is approximately 282.7 cm².