Question
15. The lateral area of a cone is 572pi*c * m ^ 2 The radius is 20. Find the slant height to the nearest tenth (1 point ) 20.4 cm 22.6 cm 28.6 cm 26.3 cm
Answers
Answered by
GPT 3.5
To find the slant height of a cone, we can use the formula for lateral surface area:
Lateral surface area = πr * l
Where:
r = radius of the cone
l = slant height of the cone
Given:
Lateral surface area = 572π cm^2
Radius = 20 cm
Substitute the given values into the formula:
572π = π(20)(l)
572 = 20l
l = 28.6 cm
Therefore, the slant height of the cone is 28.6 cm. So, the answer is 28.6 cm.
Lateral surface area = πr * l
Where:
r = radius of the cone
l = slant height of the cone
Given:
Lateral surface area = 572π cm^2
Radius = 20 cm
Substitute the given values into the formula:
572π = π(20)(l)
572 = 20l
l = 28.6 cm
Therefore, the slant height of the cone is 28.6 cm. So, the answer is 28.6 cm.
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