The lateral area of a cone is given by the formula: L = πrs, where r is the radius of the base and s is the slant height. To find the slant height, we use the Pythagorean theorem:
s^2 = r^2 + h^2
s^2 = (80)^2 + (60)^2
s = √(6400 + 3600)
s ≈ 92.2 m (rounded to one decimal place)
Now we can calculate the lateral area:
L = πrs
L = π(80)(92.2)
L ≈ 23,023.7 m^2
Rounded to the nearest whole number, the lateral area is 23,024 m^2, which is closest to option b) 25,133 m^2. However, none of the given options is an exact match, so it's possible that there is an error in the question or answer choices.
what is the lateral area of the cone to the nearest whole number? the figure is not drawn to scale.
base=160 m
height=60 m
a) 15,080 m^2
b) 25,133 m^2
c) 45,239 m^2
d) 50,265 m^2
1 answer