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The lateral area of a cone is 555 pi cm^2. The radius is 15.1 cm. What is the slang height to the nearest tenth of a centimeter? A- 36.8 cm B- 11.7 cm C- 83.8 cm
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The lateral area of a cone is 555 pi cm^2. The radius is 15.1 cm. What is the slang height to the nearest tenth of a centimeter?

A- 36.8 cm
B- 11.7 cm
C- 83.8 cm

User Henser
by
8.7k points

1 Answer

4 votes
The lateral area of a cone is given by
A = πrh
where r and h represent the radius and slant height, respectively. Substituting given values, you have
555π cm² = π(15.1 cm)h
h = (555/15.1) cm ≈ 36.8 cm

The appropriate selection is
A- 36.8 cm
User AngieM
by
8.5k points
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