The slant height of a cone that has a lateral area of 320π cm² and diameter of 20 cm is 32 cm.
The lateral area of a cone can be described as follows:
where
r = radius
l = slant height
Therefore,
r = 20 / 2 = 10 cm
l = ?
lateral area = 320π cm²
320π = π × 10 × l
320π = 10πl
divide both sides by 10π
l = 320π / 10π
l = 32 cm
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