Answer :
Answer:
The approximate Lateral surface area of the cone is 1159 in²
Step-by-step explanation:
To calculate the lateral area of the cone that has a circular with a diameter of 18 inches, height of 40 inches and a slant height of 41 inches, we will follow the steps below:
first, we will write down the formula for calculating the lateral area of a cone;
L.S.A of a cone =π r l
where r is the radius of he cone and l is the slant height of the cone
from the question given, slant height (l)= 41 inches
diameter = 18 inches
but diameter = 2 ×radius
hence, radius = diameter /2
radius = 18/2 = 9 inches
π=3.14
We can now substitute our values into the formula;
L.S.A of a cone =π r l
=3.14×9×41
=1158.66 in²
≈1159 in² to the nearest whole number
The approximate Lateral surface area of the cone is 1159 in²