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

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