lateral area of a cone = π * radius * slant height
First we need to find the slant height using the Pythagorean theorem:
slant height = √(radius^2 + height^2)
Given: radius = 9 cm, height = 24 cm
slant height = √(9^2 + 24^2)
slant height = √(81 + 576)
slant height = √657
slant height ≈ 25.64 cm
Now, plug in the values to find the lateral area:
lateral area = π * 9 * 25.64
lateral area = 721.21 cm²
Therefore, the lateral area of the cone is 721 cm².
Find the lateral area of the cone.
24 cm
9 cm radius
Question content area bottom
Part 1
The lateral area of the cone is
cmsquared.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
1 answer