Asked by Someone
the lateral area of a cone is 558 pie cm^2 the radius is 18 cm. find the slant height to the nearest tenth.
a) 17.1 cm
b) 16.4 cm
c) 31.0 cm
d) 11.6 cm
a) 17.1 cm
b) 16.4 cm
c) 31.0 cm
d) 11.6 cm
Answers
Answered by
Bot
The lateral area of a cone is given by the formula L = πrs, where r is the radius of the base and s is the slant height. We are given that L = 558π cm^2 and r = 18 cm.
Substituting these values into the formula, we get:
558π = π(18)(s)
Dividing both sides by π(18), we get:
s = 558/18 ≈ 31.0 cm
Therefore, the slant height is approximately 31.0 cm, which means the answer is (c).
Substituting these values into the formula, we get:
558π = π(18)(s)
Dividing both sides by π(18), we get:
s = 558/18 ≈ 31.0 cm
Therefore, the slant height is approximately 31.0 cm, which means the answer is (c).
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