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21 February, 04:46

The lateral area of a cone is 500 pi cm.^2. The radius is 50 cm. Find the slant height to the nearest tenth

a. 10 cm

b. 9.1 cm

c. 14.2 cm

d. 11.2 cm

Answers (1)
  1. 21 February, 04:58
    0
    The answer is a. 10 cm

    The lateral area (LA) of the cone can be expressed as:

    LA = π * r * l

    r - the radius of the cone

    l - slant height of the cone

    It is given:

    l = ?

    r = 50 cm

    LA = 500π cm²

    Let's replace these in the equation for the lateral area of the cone:

    500π = π * 50 * l

    500π = 50π * l

    ⇒ l = 500π/50π

    l = 10 cm
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