Find the lateral area of the cone. Use 3.14 for pi and round the result to the nearest whole unit.
A cone on its side with a radius of 15 cm, a height of 28 cm. The label at bottom reads "drawing not to scale".
(1 point)
Responses
1,319 cm2
1,319 cm 2
2,639 cm2
2,639 cm 2
707 cm2
707 cm 2
2,026 cm2
The lateral area of a cone can be calculated using the formula Lateral Area = πr√(r^2+h^2), where r is the radius and h is the height.
Plugging in the values:
Lateral Area = 3.14 * 15 * √(15^2+28^2)
Lateral Area = 3.14 * 15 * √(225+784)
Lateral Area = 3.14 * 15 * √1009
Lateral Area = 3.14 * 15 * 31.78
Lateral Area = 150.2 * 31.78
Lateral Area ≈ 4,768.156 cm2
Rounded to the nearest whole unit, the lateral area is approximately 4,768 cm2.