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18 December, 01:44

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

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Answers (1)
  1. 18 December, 03:51
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    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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