The lateral area of a cone is 555 cm^2 the radius is 15.1 cm what is the slant height to the nearest tenth of a centimeter

A. 36.8cm
B. 11.7cm
C. 83.8cm
D. 25.5cm

1 answer

The lateral area of a cone is given by L = πrℓ, where r is the radius of the base and ℓ is the slant height. Here, we know L = 555 cm^2 and r = 15.1 cm. Plugging in these values, we get:

555 = π(15.1)ℓ

Solving for â„“, we have:

â„“ = 555/(Ï€(15.1))
ℓ ≈ 11.7 cm

Therefore, the slant height to the nearest tenth of a centimeter is 11.7 cm, which is option B.
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