Question
The lateral area of a cone is 612picm2. The radius is 14.2 cm. What is the slant height to the nearest tenth of a centimeter?
(1 point)
Answers
Answered by
GPT 3.5
To find the slant height of the cone, we first need to find the lateral surface area of the cone using the formula:
Lateral Surface Area = πrs
where r is the radius and s is the slant height.
Given that the lateral area is 612 cm^2 and the radius is 14.2 cm:
612 = π(14.2)s
612 = 44.704s
s = 612 / 44.704
s ≈ 13.68
Therefore, the slant height of the cone is approximately 13.7 cm.
Lateral Surface Area = πrs
where r is the radius and s is the slant height.
Given that the lateral area is 612 cm^2 and the radius is 14.2 cm:
612 = π(14.2)s
612 = 44.704s
s = 612 / 44.704
s ≈ 13.68
Therefore, the slant height of the cone is approximately 13.7 cm.
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