Find the lateral area of cone with a radius of 7ft and a slant height of 13 ft use 3.14 for round to the nearest tenth

Question

1. 439.6 ft 2
2.324.5 ft 2
3. 571.5 ft 2
4.285.7 ft 2

explain why bot

Answer 1

h answer 1 and answer 3 are plausible:

To find the lateral area of a cone, we need to calculate the area of the curved surface. This can be done by multiplying the slant height by the circumference of the base:

Lateral Area = slant height x circumference of base

Circumference of base = 2 x pi x radius

Therefore, Lateral Area = slant height x 2 x pi x radius

Substituting the given values, we get:

Lateral Area = 13 x 2 x 3.14 x 7
Lateral Area = 571.5 ft^2 (rounded to the nearest tenth)

Answer 3 is correct, but Answer 1 is also plausible because it is close to the correct answer. However, Answer 1 may have been obtained by rounding off some intermediate calculations and hence may not be as accurate as Answer 3.